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Finding the Fourth Proportional to 312,698.16, 469,074.92 and 88,060.59

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Solution

The fourth proportional to 312,698.16, 469,074.92 and 88,060.59 is: 132,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,698.16 : 469,074.92 = 88,060.59 : x
  2. Step 2: Convert to fraction form
    312,698.16/469,074.92 = 88,060.59/x
  3. Step 3: Cross multiply
    312,698.16x = 469,074.92 × 88,060.59
  4. Step 4: Simplify right side
    312,698.16x = 41,307,013,769.10
  5. Step 5: Solve for x
    x = 41,307,013,769.10/312,698.16
  6. Step 6: Final answer
    x = 132,098.68

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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.