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Finding the Fourth Proportional to 142,052.77, 213,023.49 and 53,257.87

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Solution

The fourth proportional to 142,052.77, 213,023.49 and 53,257.87 is: 79,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,052.77 : 213,023.49 = 53,257.87 : x
  2. Step 2: Convert to fraction form
    142,052.77/213,023.49 = 53,257.87/x
  3. Step 3: Cross multiply
    142,052.77x = 213,023.49 × 53,257.87
  4. Step 4: Simplify right side
    142,052.77x = 11,345,177,337.37
  5. Step 5: Solve for x
    x = 11,345,177,337.37/142,052.77
  6. Step 6: Final answer
    x = 79,865.94

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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.