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Finding the Fourth Proportional to 150,681, 207,949.50 and 83,613

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Solution

The fourth proportional to 150,681, 207,949.50 and 83,613 is: 115,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,681 : 207,949.50 = 83,613 : x
  2. Step 2: Convert to fraction form
    150,681/207,949.50 = 83,613/x
  3. Step 3: Cross multiply
    150,681x = 207,949.50 × 83,613
  4. Step 4: Simplify right side
    150,681x = 17,387,281,543.50
  5. Step 5: Solve for x
    x = 17,387,281,543.50/150,681
  6. Step 6: Final answer
    x = 115,391.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.