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Finding the Fourth Proportional to 138,429, 207,678.18 and 39,933

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Solution

The fourth proportional to 138,429, 207,678.18 and 39,933 is: 59,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,429 : 207,678.18 = 39,933 : x
  2. Step 2: Convert to fraction form
    138,429/207,678.18 = 39,933/x
  3. Step 3: Cross multiply
    138,429x = 207,678.18 × 39,933
  4. Step 4: Simplify right side
    138,429x = 8,293,212,761.94
  5. Step 5: Solve for x
    x = 8,293,212,761.94/138,429
  6. Step 6: Final answer
    x = 59,909.50

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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.