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Finding the Fourth Proportional to 359,143.02, 538,711.29 and 137,527.02

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Solution

The fourth proportional to 359,143.02, 538,711.29 and 137,527.02 is: 206,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,143.02 : 538,711.29 = 137,527.02 : x
  2. Step 2: Convert to fraction form
    359,143.02/538,711.29 = 137,527.02/x
  3. Step 3: Cross multiply
    359,143.02x = 538,711.29 × 137,527.02
  4. Step 4: Simplify right side
    359,143.02x = 74,087,359,199.35
  5. Step 5: Solve for x
    x = 74,087,359,199.35/359,143.02
  6. Step 6: Final answer
    x = 206,289.29

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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.