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Finding the Fourth Proportional to 287,762.40, 431,605.80 and 88,102.80

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Solution

The fourth proportional to 287,762.40, 431,605.80 and 88,102.80 is: 132,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,762.40 : 431,605.80 = 88,102.80 : x
  2. Step 2: Convert to fraction form
    287,762.40/431,605.80 = 88,102.80/x
  3. Step 3: Cross multiply
    287,762.40x = 431,605.80 × 88,102.80
  4. Step 4: Simplify right side
    287,762.40x = 38,025,679,476.24
  5. Step 5: Solve for x
    x = 38,025,679,476.24/287,762.40
  6. Step 6: Final answer
    x = 132,142.63

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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.