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Finding the Fourth Proportional to 250,688.50, 345,907.65 and 165,760.18

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Solution

The fourth proportional to 250,688.50, 345,907.65 and 165,760.18 is: 228,720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,688.50 : 345,907.65 = 165,760.18 : x
  2. Step 2: Convert to fraction form
    250,688.50/345,907.65 = 165,760.18/x
  3. Step 3: Cross multiply
    250,688.50x = 345,907.65 × 165,760.18
  4. Step 4: Simplify right side
    250,688.50x = 57,337,714,327.38
  5. Step 5: Solve for x
    x = 57,337,714,327.38/250,688.50
  6. Step 6: Final answer
    x = 228,720.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.