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Finding the Fourth Proportional to 119,463.24, 164,856.24 and 65,013.10

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Solution

The fourth proportional to 119,463.24, 164,856.24 and 65,013.10 is: 89,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,463.24 : 164,856.24 = 65,013.10 : x
  2. Step 2: Convert to fraction form
    119,463.24/164,856.24 = 65,013.10/x
  3. Step 3: Cross multiply
    119,463.24x = 164,856.24 × 65,013.10
  4. Step 4: Simplify right side
    119,463.24x = 10,717,815,216.74
  5. Step 5: Solve for x
    x = 10,717,815,216.74/119,463.24
  6. Step 6: Final answer
    x = 89,716.43

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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.