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Finding the Fourth Proportional to 159,459.52, 220,045.98 and 87,838

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Solution

The fourth proportional to 159,459.52, 220,045.98 and 87,838 is: 121,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,459.52 : 220,045.98 = 87,838 : x
  2. Step 2: Convert to fraction form
    159,459.52/220,045.98 = 87,838/x
  3. Step 3: Cross multiply
    159,459.52x = 220,045.98 × 87,838
  4. Step 4: Simplify right side
    159,459.52x = 19,328,398,791.24
  5. Step 5: Solve for x
    x = 19,328,398,791.24/159,459.52
  6. Step 6: Final answer
    x = 121,211.95

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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.