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Finding the Fourth Proportional to 104,701.32, 156,898.89 and 65,138.22

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Solution

The fourth proportional to 104,701.32, 156,898.89 and 65,138.22 is: 97,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,701.32 : 156,898.89 = 65,138.22 : x
  2. Step 2: Convert to fraction form
    104,701.32/156,898.89 = 65,138.22/x
  3. Step 3: Cross multiply
    104,701.32x = 156,898.89 × 65,138.22
  4. Step 4: Simplify right side
    104,701.32x = 10,220,114,414.58
  5. Step 5: Solve for x
    x = 10,220,114,414.58/104,701.32
  6. Step 6: Final answer
    x = 97,612.09

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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.