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Finding the Fourth Proportional to 238,296.53, 357,592.53 and 138,503.72

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Solution

The fourth proportional to 238,296.53, 357,592.53 and 138,503.72 is: 207,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,296.53 : 357,592.53 = 138,503.72 : x
  2. Step 2: Convert to fraction form
    238,296.53/357,592.53 = 138,503.72/x
  3. Step 3: Cross multiply
    238,296.53x = 357,592.53 × 138,503.72
  4. Step 4: Simplify right side
    238,296.53x = 49,527,895,649.21
  5. Step 5: Solve for x
    x = 49,527,895,649.21/238,296.53
  6. Step 6: Final answer
    x = 207,841.45

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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.