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Finding the Fourth Proportional to 231,684.66, 319,650.48 and 129,695.10

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Solution

The fourth proportional to 231,684.66, 319,650.48 and 129,695.10 is: 178,937.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,684.66 : 319,650.48 = 129,695.10 : x
  2. Step 2: Convert to fraction form
    231,684.66/319,650.48 = 129,695.10/x
  3. Step 3: Cross multiply
    231,684.66x = 319,650.48 × 129,695.10
  4. Step 4: Simplify right side
    231,684.66x = 41,457,100,968.65
  5. Step 5: Solve for x
    x = 41,457,100,968.65/231,684.66
  6. Step 6: Final answer
    x = 178,937.62

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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.