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Finding the Fourth Proportional to 227,957.10, 342,216.45 and 143,717.10

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Solution

The fourth proportional to 227,957.10, 342,216.45 and 143,717.10 is: 215,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,957.10 : 342,216.45 = 143,717.10 : x
  2. Step 2: Convert to fraction form
    227,957.10/342,216.45 = 143,717.10/x
  3. Step 3: Cross multiply
    227,957.10x = 342,216.45 × 143,717.10
  4. Step 4: Simplify right side
    227,957.10x = 49,182,355,766.30
  5. Step 5: Solve for x
    x = 49,182,355,766.30/227,957.10
  6. Step 6: Final answer
    x = 215,752.68

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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.