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Finding the Fourth Proportional to 142,588.44, 213,839.46 and 59,463

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Solution

The fourth proportional to 142,588.44, 213,839.46 and 59,463 is: 89,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,588.44 : 213,839.46 = 59,463 : x
  2. Step 2: Convert to fraction form
    142,588.44/213,839.46 = 59,463/x
  3. Step 3: Cross multiply
    142,588.44x = 213,839.46 × 59,463
  4. Step 4: Simplify right side
    142,588.44x = 12,715,535,809.98
  5. Step 5: Solve for x
    x = 12,715,535,809.98/142,588.44
  6. Step 6: Final answer
    x = 89,176.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.