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Finding the Fourth Proportional to 119,124.52, 164,393.76 and 65,414.50

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Solution

The fourth proportional to 119,124.52, 164,393.76 and 65,414.50 is: 90,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,124.52 : 164,393.76 = 65,414.50 : x
  2. Step 2: Convert to fraction form
    119,124.52/164,393.76 = 65,414.50/x
  3. Step 3: Cross multiply
    119,124.52x = 164,393.76 × 65,414.50
  4. Step 4: Simplify right side
    119,124.52x = 10,753,735,613.52
  5. Step 5: Solve for x
    x = 10,753,735,613.52/119,124.52
  6. Step 6: Final answer
    x = 90,273.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.