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Finding the Fourth Proportional to 142,147.92, 196,162.76 and 78,484.36

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Solution

The fourth proportional to 142,147.92, 196,162.76 and 78,484.36 is: 108,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,147.92 : 196,162.76 = 78,484.36 : x
  2. Step 2: Convert to fraction form
    142,147.92/196,162.76 = 78,484.36/x
  3. Step 3: Cross multiply
    142,147.92x = 196,162.76 × 78,484.36
  4. Step 4: Simplify right side
    142,147.92x = 15,395,708,674.43
  5. Step 5: Solve for x
    x = 15,395,708,674.43/142,147.92
  6. Step 6: Final answer
    x = 108,307.66

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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.