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Finding the Fourth Proportional to 165,859,869.60, 248,978,761.20 and 97,740,943.20

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Solution

The fourth proportional to 165,859,869.60, 248,978,761.20 and 97,740,943.20 is: 146,722,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,859,869.60 : 248,978,761.20 = 97,740,943.20 : x
  2. Step 2: Convert to fraction form
    165,859,869.60/248,978,761.20 = 97,740,943.20/x
  3. Step 3: Cross multiply
    165,859,869.60x = 248,978,761.20 × 97,740,943.20
  4. Step 4: Simplify right side
    165,859,869.60x = 24,335,418,956,455,564
  5. Step 5: Solve for x
    x = 24,335,418,956,455,564/165,859,869.60
  6. Step 6: Final answer
    x = 146,722,766.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.