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Finding the Fourth Proportional to 142,564.78, 196,760.24 and 82,123.80

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Solution

The fourth proportional to 142,564.78, 196,760.24 and 82,123.80 is: 113,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,564.78 : 196,760.24 = 82,123.80 : x
  2. Step 2: Convert to fraction form
    142,564.78/196,760.24 = 82,123.80/x
  3. Step 3: Cross multiply
    142,564.78x = 196,760.24 × 82,123.80
  4. Step 4: Simplify right side
    142,564.78x = 16,158,698,597.71
  5. Step 5: Solve for x
    x = 16,158,698,597.71/142,564.78
  6. Step 6: Final answer
    x = 113,342.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.