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Finding the Fourth Proportional to 224,999.10, 337,498.65 and 172,511.10

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Solution

The fourth proportional to 224,999.10, 337,498.65 and 172,511.10 is: 258,766.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,999.10 : 337,498.65 = 172,511.10 : x
  2. Step 2: Convert to fraction form
    224,999.10/337,498.65 = 172,511.10/x
  3. Step 3: Cross multiply
    224,999.10x = 337,498.65 × 172,511.10
  4. Step 4: Simplify right side
    224,999.10x = 58,222,263,360.02
  5. Step 5: Solve for x
    x = 58,222,263,360.02/224,999.10
  6. Step 6: Final answer
    x = 258,766.65

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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.