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Finding the Fourth Proportional to 165,903.20, 248,854.80 and 55,095.20

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Solution

The fourth proportional to 165,903.20, 248,854.80 and 55,095.20 is: 82,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,903.20 : 248,854.80 = 55,095.20 : x
  2. Step 2: Convert to fraction form
    165,903.20/248,854.80 = 55,095.20/x
  3. Step 3: Cross multiply
    165,903.20x = 248,854.80 × 55,095.20
  4. Step 4: Simplify right side
    165,903.20x = 13,710,704,976.96
  5. Step 5: Solve for x
    x = 13,710,704,976.96/165,903.20
  6. Step 6: Final answer
    x = 82,642.80

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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.