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Finding the Fourth Proportional to 198,442.92, 273,851.52 and 107,798.91

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Solution

The fourth proportional to 198,442.92, 273,851.52 and 107,798.91 is: 148,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,442.92 : 273,851.52 = 107,798.91 : x
  2. Step 2: Convert to fraction form
    198,442.92/273,851.52 = 107,798.91/x
  3. Step 3: Cross multiply
    198,442.92x = 273,851.52 × 107,798.91
  4. Step 4: Simplify right side
    198,442.92x = 29,520,895,357.84
  5. Step 5: Solve for x
    x = 29,520,895,357.84/198,442.92
  6. Step 6: Final answer
    x = 148,762.65

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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.