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Finding the Fourth Proportional to 126,775.60, 174,763.96 and 96,508.16

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Solution

The fourth proportional to 126,775.60, 174,763.96 and 96,508.16 is: 133,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,775.60 : 174,763.96 = 96,508.16 : x
  2. Step 2: Convert to fraction form
    126,775.60/174,763.96 = 96,508.16/x
  3. Step 3: Cross multiply
    126,775.60x = 174,763.96 × 96,508.16
  4. Step 4: Simplify right side
    126,775.60x = 16,866,148,213.91
  5. Step 5: Solve for x
    x = 16,866,148,213.91/126,775.60
  6. Step 6: Final answer
    x = 133,039.39

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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.