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Finding the Fourth Proportional to 499,175.10, 748,762.65 and 144,200.70

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Solution

The fourth proportional to 499,175.10, 748,762.65 and 144,200.70 is: 216,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,175.10 : 748,762.65 = 144,200.70 : x
  2. Step 2: Convert to fraction form
    499,175.10/748,762.65 = 144,200.70/x
  3. Step 3: Cross multiply
    499,175.10x = 748,762.65 × 144,200.70
  4. Step 4: Simplify right side
    499,175.10x = 107,972,098,263.86
  5. Step 5: Solve for x
    x = 107,972,098,263.86/499,175.10
  6. Step 6: Final answer
    x = 216,301.05

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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.