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Finding the Fourth Proportional to 227,658.65, 341,200.85 and 115,367.13

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Solution

The fourth proportional to 227,658.65, 341,200.85 and 115,367.13 is: 172,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,658.65 : 341,200.85 = 115,367.13 : x
  2. Step 2: Convert to fraction form
    227,658.65/341,200.85 = 115,367.13/x
  3. Step 3: Cross multiply
    227,658.65x = 341,200.85 × 115,367.13
  4. Step 4: Simplify right side
    227,658.65x = 39,363,362,241.22
  5. Step 5: Solve for x
    x = 39,363,362,241.22/227,658.65
  6. Step 6: Final answer
    x = 172,905.19

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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.