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Finding the Fourth Proportional to 359,078.49, 538,614.50 and 137,462.49

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Solution

The fourth proportional to 359,078.49, 538,614.50 and 137,462.49 is: 206,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,078.49 : 538,614.50 = 137,462.49 : x
  2. Step 2: Convert to fraction form
    359,078.49/538,614.50 = 137,462.49/x
  3. Step 3: Cross multiply
    359,078.49x = 538,614.50 × 137,462.49
  4. Step 4: Simplify right side
    359,078.49x = 74,039,289,632.79
  5. Step 5: Solve for x
    x = 74,039,289,632.79/359,078.49
  6. Step 6: Final answer
    x = 206,192.49

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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.