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Finding the Fourth Proportional to 287,782.80, 431,706.60 and 88,101.60

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Solution

The fourth proportional to 287,782.80, 431,706.60 and 88,101.60 is: 132,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,782.80 : 431,706.60 = 88,101.60 : x
  2. Step 2: Convert to fraction form
    287,782.80/431,706.60 = 88,101.60/x
  3. Step 3: Cross multiply
    287,782.80x = 431,706.60 × 88,101.60
  4. Step 4: Simplify right side
    287,782.80x = 38,034,042,190.56
  5. Step 5: Solve for x
    x = 38,034,042,190.56/287,782.80
  6. Step 6: Final answer
    x = 132,162.32

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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.