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Finding the Fourth Proportional to 260,231.92, 390,046.68 and 119,695.60

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Solution

The fourth proportional to 260,231.92, 390,046.68 and 119,695.60 is: 179,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,231.92 : 390,046.68 = 119,695.60 : x
  2. Step 2: Convert to fraction form
    260,231.92/390,046.68 = 119,695.60/x
  3. Step 3: Cross multiply
    260,231.92x = 390,046.68 × 119,695.60
  4. Step 4: Simplify right side
    260,231.92x = 46,686,871,390.61
  5. Step 5: Solve for x
    x = 46,686,871,390.61/260,231.92
  6. Step 6: Final answer
    x = 179,404.86

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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.