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Finding the Fourth Proportional to 274,017.60, 411,026.40 and 156,052.80

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Solution

The fourth proportional to 274,017.60, 411,026.40 and 156,052.80 is: 234,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,017.60 : 411,026.40 = 156,052.80 : x
  2. Step 2: Convert to fraction form
    274,017.60/411,026.40 = 156,052.80/x
  3. Step 3: Cross multiply
    274,017.60x = 411,026.40 × 156,052.80
  4. Step 4: Simplify right side
    274,017.60x = 64,141,820,593.92
  5. Step 5: Solve for x
    x = 64,141,820,593.92/274,017.60
  6. Step 6: Final answer
    x = 234,079.20

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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.