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Finding the Fourth Proportional to 359,156, 538,736.70 and 159,422.69

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Solution

The fourth proportional to 359,156, 538,736.70 and 159,422.69 is: 239,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,156 : 538,736.70 = 159,422.69 : x
  2. Step 2: Convert to fraction form
    359,156/538,736.70 = 159,422.69/x
  3. Step 3: Cross multiply
    359,156x = 538,736.70 × 159,422.69
  4. Step 4: Simplify right side
    359,156x = 85,886,853,915.72
  5. Step 5: Solve for x
    x = 85,886,853,915.72/359,156
  6. Step 6: Final answer
    x = 239,135.23

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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.