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Finding the Fourth Proportional to 142,262.32, 196,305.28 and 78,596.32

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Solution

The fourth proportional to 142,262.32, 196,305.28 and 78,596.32 is: 108,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,262.32 : 196,305.28 = 78,596.32 : x
  2. Step 2: Convert to fraction form
    142,262.32/196,305.28 = 78,596.32/x
  3. Step 3: Cross multiply
    142,262.32x = 196,305.28 × 78,596.32
  4. Step 4: Simplify right side
    142,262.32x = 15,428,872,604.57
  5. Step 5: Solve for x
    x = 15,428,872,604.57/142,262.32
  6. Step 6: Final answer
    x = 108,453.68

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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.