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Finding the Fourth Proportional to 224,911.71, 337,094.76 and 165,193.65

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Solution

The fourth proportional to 224,911.71, 337,094.76 and 165,193.65 is: 247,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,911.71 : 337,094.76 = 165,193.65 : x
  2. Step 2: Convert to fraction form
    224,911.71/337,094.76 = 165,193.65/x
  3. Step 3: Cross multiply
    224,911.71x = 337,094.76 × 165,193.65
  4. Step 4: Simplify right side
    224,911.71x = 55,685,913,800.27
  5. Step 5: Solve for x
    x = 55,685,913,800.27/224,911.71
  6. Step 6: Final answer
    x = 247,590.10

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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.