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Finding the Fourth Proportional to 275,002.60, 412,110.30 and 156,423.40

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Solution

The fourth proportional to 275,002.60, 412,110.30 and 156,423.40 is: 234,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,002.60 : 412,110.30 = 156,423.40 : x
  2. Step 2: Convert to fraction form
    275,002.60/412,110.30 = 156,423.40/x
  3. Step 3: Cross multiply
    275,002.60x = 412,110.30 × 156,423.40
  4. Step 4: Simplify right side
    275,002.60x = 64,463,694,301.02
  5. Step 5: Solve for x
    x = 64,463,694,301.02/275,002.60
  6. Step 6: Final answer
    x = 234,411.22

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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.