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Finding the Fourth Proportional to 130,951.50, 180,714.99 and 71,335.50

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Solution

The fourth proportional to 130,951.50, 180,714.99 and 71,335.50 is: 98,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,951.50 : 180,714.99 = 71,335.50 : x
  2. Step 2: Convert to fraction form
    130,951.50/180,714.99 = 71,335.50/x
  3. Step 3: Cross multiply
    130,951.50x = 180,714.99 × 71,335.50
  4. Step 4: Simplify right side
    130,951.50x = 12,891,394,169.15
  5. Step 5: Solve for x
    x = 12,891,394,169.15/130,951.50
  6. Step 6: Final answer
    x = 98,444.04

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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.