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Finding the Fourth Proportional to 380,101.92, 570,141.12 and 180,565.92

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Solution

The fourth proportional to 380,101.92, 570,141.12 and 180,565.92 is: 270,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,101.92 : 570,141.12 = 180,565.92 : x
  2. Step 2: Convert to fraction form
    380,101.92/570,141.12 = 180,565.92/x
  3. Step 3: Cross multiply
    380,101.92x = 570,141.12 × 180,565.92
  4. Step 4: Simplify right side
    380,101.92x = 102,948,055,862.63
  5. Step 5: Solve for x
    x = 102,948,055,862.63/380,101.92
  6. Step 6: Final answer
    x = 270,843.29

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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.