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Finding the Fourth Proportional to 287,423.60, 431,200.20 and 87,753.20

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Solution

The fourth proportional to 287,423.60, 431,200.20 and 87,753.20 is: 131,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,423.60 : 431,200.20 = 87,753.20 : x
  2. Step 2: Convert to fraction form
    287,423.60/431,200.20 = 87,753.20/x
  3. Step 3: Cross multiply
    287,423.60x = 431,200.20 × 87,753.20
  4. Step 4: Simplify right side
    287,423.60x = 37,839,197,390.64
  5. Step 5: Solve for x
    x = 37,839,197,390.64/287,423.60
  6. Step 6: Final answer
    x = 131,649.58

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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.