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Finding the Fourth Proportional to 112,876.29, 155,770.14 and 77,065.38

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Solution

The fourth proportional to 112,876.29, 155,770.14 and 77,065.38 is: 106,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,876.29 : 155,770.14 = 77,065.38 : x
  2. Step 2: Convert to fraction form
    112,876.29/155,770.14 = 77,065.38/x
  3. Step 3: Cross multiply
    112,876.29x = 155,770.14 × 77,065.38
  4. Step 4: Simplify right side
    112,876.29x = 12,004,485,031.75
  5. Step 5: Solve for x
    x = 12,004,485,031.75/112,876.29
  6. Step 6: Final answer
    x = 106,350.81

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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.