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Finding the Fourth Proportional to 219,518.64, 329,128.13 and 116,951.31

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Solution

The fourth proportional to 219,518.64, 329,128.13 and 116,951.31 is: 175,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,518.64 : 329,128.13 = 116,951.31 : x
  2. Step 2: Convert to fraction form
    219,518.64/329,128.13 = 116,951.31/x
  3. Step 3: Cross multiply
    219,518.64x = 329,128.13 × 116,951.31
  4. Step 4: Simplify right side
    219,518.64x = 38,491,966,253.73
  5. Step 5: Solve for x
    x = 38,491,966,253.73/219,518.64
  6. Step 6: Final answer
    x = 175,347.14

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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.