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Finding the Fourth Proportional to 119,295.28, 164,627.82 and 65,585.80

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Solution

The fourth proportional to 119,295.28, 164,627.82 and 65,585.80 is: 90,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,295.28 : 164,627.82 = 65,585.80 : x
  2. Step 2: Convert to fraction form
    119,295.28/164,627.82 = 65,585.80/x
  3. Step 3: Cross multiply
    119,295.28x = 164,627.82 × 65,585.80
  4. Step 4: Simplify right side
    119,295.28x = 10,797,247,276.96
  5. Step 5: Solve for x
    x = 10,797,247,276.96/119,295.28
  6. Step 6: Final answer
    x = 90,508.59

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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.