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Finding the Fourth Proportional to 119,591.76, 165,029.18 and 65,873.76

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Solution

The fourth proportional to 119,591.76, 165,029.18 and 65,873.76 is: 90,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,591.76 : 165,029.18 = 65,873.76 : x
  2. Step 2: Convert to fraction form
    119,591.76/165,029.18 = 65,873.76/x
  3. Step 3: Cross multiply
    119,591.76x = 165,029.18 × 65,873.76
  4. Step 4: Simplify right side
    119,591.76x = 10,871,092,596.32
  5. Step 5: Solve for x
    x = 10,871,092,596.32/119,591.76
  6. Step 6: Final answer
    x = 90,901.69

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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.