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Finding the Fourth Proportional to 231,668.80, 347,669.28 and 98,642.32

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Solution

The fourth proportional to 231,668.80, 347,669.28 and 98,642.32 is: 148,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,668.80 : 347,669.28 = 98,642.32 : x
  2. Step 2: Convert to fraction form
    231,668.80/347,669.28 = 98,642.32/x
  3. Step 3: Cross multiply
    231,668.80x = 347,669.28 × 98,642.32
  4. Step 4: Simplify right side
    231,668.80x = 34,294,904,371.93
  5. Step 5: Solve for x
    x = 34,294,904,371.93/231,668.80
  6. Step 6: Final answer
    x = 148,034.20

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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.