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Finding the Fourth Proportional to 98,414.92, 147,700.86 and 51,043.42

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Solution

The fourth proportional to 98,414.92, 147,700.86 and 51,043.42 is: 76,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,414.92 : 147,700.86 = 51,043.42 : x
  2. Step 2: Convert to fraction form
    98,414.92/147,700.86 = 51,043.42/x
  3. Step 3: Cross multiply
    98,414.92x = 147,700.86 × 51,043.42
  4. Step 4: Simplify right side
    98,414.92x = 7,539,157,031.34
  5. Step 5: Solve for x
    x = 7,539,157,031.34/98,414.92
  6. Step 6: Final answer
    x = 76,605.83

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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.