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Finding the Fourth Proportional to 142,586, 196,761.96 and 78,053.96

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Solution

The fourth proportional to 142,586, 196,761.96 and 78,053.96 is: 107,710.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,586 : 196,761.96 = 78,053.96 : x
  2. Step 2: Convert to fraction form
    142,586/196,761.96 = 78,053.96/x
  3. Step 3: Cross multiply
    142,586x = 196,761.96 × 78,053.96
  4. Step 4: Simplify right side
    142,586x = 15,358,050,155.36
  5. Step 5: Solve for x
    x = 15,358,050,155.36/142,586
  6. Step 6: Final answer
    x = 107,710.79

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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.