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Finding the Fourth Proportional to 103,346.92, 154,876.05 and 55,859.66

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Solution

The fourth proportional to 103,346.92, 154,876.05 and 55,859.66 is: 83,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,346.92 : 154,876.05 = 55,859.66 : x
  2. Step 2: Convert to fraction form
    103,346.92/154,876.05 = 55,859.66/x
  3. Step 3: Cross multiply
    103,346.92x = 154,876.05 × 55,859.66
  4. Step 4: Simplify right side
    103,346.92x = 8,651,323,301.55
  5. Step 5: Solve for x
    x = 8,651,323,301.55/103,346.92
  6. Step 6: Final answer
    x = 83,711.48

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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.