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Finding the Fourth Proportional to 219,830.74, 329,635.23 and 156,614.74

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Solution

The fourth proportional to 219,830.74, 329,635.23 and 156,614.74 is: 234,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,830.74 : 329,635.23 = 156,614.74 : x
  2. Step 2: Convert to fraction form
    219,830.74/329,635.23 = 156,614.74/x
  3. Step 3: Cross multiply
    219,830.74x = 329,635.23 × 156,614.74
  4. Step 4: Simplify right side
    219,830.74x = 51,625,735,841.29
  5. Step 5: Solve for x
    x = 51,625,735,841.29/219,830.74
  6. Step 6: Final answer
    x = 234,843.12

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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.