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Finding the Fourth Proportional to 219,841.81, 329,538.54 and 86,648.11

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Solution

The fourth proportional to 219,841.81, 329,538.54 and 86,648.11 is: 129,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,841.81 : 329,538.54 = 86,648.11 : x
  2. Step 2: Convert to fraction form
    219,841.81/329,538.54 = 86,648.11/x
  3. Step 3: Cross multiply
    219,841.81x = 329,538.54 × 86,648.11
  4. Step 4: Simplify right side
    219,841.81x = 28,553,891,663.16
  5. Step 5: Solve for x
    x = 28,553,891,663.16/219,841.81
  6. Step 6: Final answer
    x = 129,883.81

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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.