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Finding the Fourth Proportional to 261,841.56, 392,217.41 and 166,599.96

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Solution

The fourth proportional to 261,841.56, 392,217.41 and 166,599.96 is: 249,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,841.56 : 392,217.41 = 166,599.96 : x
  2. Step 2: Convert to fraction form
    261,841.56/392,217.41 = 166,599.96/x
  3. Step 3: Cross multiply
    261,841.56x = 392,217.41 × 166,599.96
  4. Step 4: Simplify right side
    261,841.56x = 65,343,403,984.30
  5. Step 5: Solve for x
    x = 65,343,403,984.30/261,841.56
  6. Step 6: Final answer
    x = 249,553.22

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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.