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Finding the Fourth Proportional to 359,758, 539,663.16 and 138,142

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Solution

The fourth proportional to 359,758, 539,663.16 and 138,142 is: 207,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,758 : 539,663.16 = 138,142 : x
  2. Step 2: Convert to fraction form
    359,758/539,663.16 = 138,142/x
  3. Step 3: Cross multiply
    359,758x = 539,663.16 × 138,142
  4. Step 4: Simplify right side
    359,758x = 74,550,148,248.72
  5. Step 5: Solve for x
    x = 74,550,148,248.72/359,758
  6. Step 6: Final answer
    x = 207,223.05

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