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Finding the Fourth Proportional to 158,854.91, 219,223.67 and 86,260.95

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Solution

The fourth proportional to 158,854.91, 219,223.67 and 86,260.95 is: 119,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,854.91 : 219,223.67 = 86,260.95 : x
  2. Step 2: Convert to fraction form
    158,854.91/219,223.67 = 86,260.95/x
  3. Step 3: Cross multiply
    158,854.91x = 219,223.67 × 86,260.95
  4. Step 4: Simplify right side
    158,854.91x = 18,910,441,605.38
  5. Step 5: Solve for x
    x = 18,910,441,605.38/158,854.91
  6. Step 6: Final answer
    x = 119,042.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.