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Finding the Fourth Proportional to 231,580.88, 347,537.22 and 98,554.58

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Solution

The fourth proportional to 231,580.88, 347,537.22 and 98,554.58 is: 147,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,580.88 : 347,537.22 = 98,554.58 : x
  2. Step 2: Convert to fraction form
    231,580.88/347,537.22 = 98,554.58/x
  3. Step 3: Cross multiply
    231,580.88x = 347,537.22 × 98,554.58
  4. Step 4: Simplify right side
    231,580.88x = 34,251,384,751.47
  5. Step 5: Solve for x
    x = 34,251,384,751.47/231,580.88
  6. Step 6: Final answer
    x = 147,902.47

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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.