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Finding the Fourth Proportional to 119,166.52, 178,825.12 and 66,610.48

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Solution

The fourth proportional to 119,166.52, 178,825.12 and 66,610.48 is: 99,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,166.52 : 178,825.12 = 66,610.48 : x
  2. Step 2: Convert to fraction form
    119,166.52/178,825.12 = 66,610.48/x
  3. Step 3: Cross multiply
    119,166.52x = 178,825.12 × 66,610.48
  4. Step 4: Simplify right side
    119,166.52x = 11,911,627,079.26
  5. Step 5: Solve for x
    x = 11,911,627,079.26/119,166.52
  6. Step 6: Final answer
    x = 99,957.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.