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Finding the Fourth Proportional to 287,803.80, 431,738.10 and 88,122.60

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Solution

The fourth proportional to 287,803.80, 431,738.10 and 88,122.60 is: 132,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,803.80 : 431,738.10 = 88,122.60 : x
  2. Step 2: Convert to fraction form
    287,803.80/431,738.10 = 88,122.60/x
  3. Step 3: Cross multiply
    287,803.80x = 431,738.10 × 88,122.60
  4. Step 4: Simplify right side
    287,803.80x = 38,045,883,891.06
  5. Step 5: Solve for x
    x = 38,045,883,891.06/287,803.80
  6. Step 6: Final answer
    x = 132,193.82

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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.