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Finding the Fourth Proportional to 263,658.20, 363,870.72 and 148,957.92

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Solution

The fourth proportional to 263,658.20, 363,870.72 and 148,957.92 is: 205,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,658.20 : 363,870.72 = 148,957.92 : x
  2. Step 2: Convert to fraction form
    263,658.20/363,870.72 = 148,957.92/x
  3. Step 3: Cross multiply
    263,658.20x = 363,870.72 × 148,957.92
  4. Step 4: Simplify right side
    263,658.20x = 54,201,425,600.10
  5. Step 5: Solve for x
    x = 54,201,425,600.10/263,658.20
  6. Step 6: Final answer
    x = 205,574.59

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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.