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Finding the Fourth Proportional to 119,032.50, 164,264.39 and 65,318.41

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Solution

The fourth proportional to 119,032.50, 164,264.39 and 65,318.41 is: 90,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,032.50 : 164,264.39 = 65,318.41 : x
  2. Step 2: Convert to fraction form
    119,032.50/164,264.39 = 65,318.41/x
  3. Step 3: Cross multiply
    119,032.50x = 164,264.39 × 65,318.41
  4. Step 4: Simplify right side
    119,032.50x = 10,729,488,774.42
  5. Step 5: Solve for x
    x = 10,729,488,774.42/119,032.50
  6. Step 6: Final answer
    x = 90,139.15

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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.