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Finding the Fourth Proportional to 119,339.12, 164,619.24 and 71,564.60

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Solution

The fourth proportional to 119,339.12, 164,619.24 and 71,564.60 is: 98,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,339.12 : 164,619.24 = 71,564.60 : x
  2. Step 2: Convert to fraction form
    119,339.12/164,619.24 = 71,564.60/x
  3. Step 3: Cross multiply
    119,339.12x = 164,619.24 × 71,564.60
  4. Step 4: Simplify right side
    119,339.12x = 11,780,910,062.90
  5. Step 5: Solve for x
    x = 11,780,910,062.90/119,339.12
  6. Step 6: Final answer
    x = 98,717.92

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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.