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Finding the Fourth Proportional to 116,335.85, 174,159.32 and 71,819.46

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Solution

The fourth proportional to 116,335.85, 174,159.32 and 71,819.46 is: 107,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,335.85 : 174,159.32 = 71,819.46 : x
  2. Step 2: Convert to fraction form
    116,335.85/174,159.32 = 71,819.46/x
  3. Step 3: Cross multiply
    116,335.85x = 174,159.32 × 71,819.46
  4. Step 4: Simplify right side
    116,335.85x = 12,508,027,957.27
  5. Step 5: Solve for x
    x = 12,508,027,957.27/116,335.85
  6. Step 6: Final answer
    x = 107,516.54

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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.