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Finding the Fourth Proportional to 185,489.63, 278,202.14 and 85,641.31

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Solution

The fourth proportional to 185,489.63, 278,202.14 and 85,641.31 is: 128,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,489.63 : 278,202.14 = 85,641.31 : x
  2. Step 2: Convert to fraction form
    185,489.63/278,202.14 = 85,641.31/x
  3. Step 3: Cross multiply
    185,489.63x = 278,202.14 × 85,641.31
  4. Step 4: Simplify right side
    185,489.63x = 23,825,595,714.40
  5. Step 5: Solve for x
    x = 23,825,595,714.40/185,489.63
  6. Step 6: Final answer
    x = 128,447.05

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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.