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Finding the Fourth Proportional to 142,295.96, 196,368.36 and 78,633.20

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Solution

The fourth proportional to 142,295.96, 196,368.36 and 78,633.20 is: 108,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,295.96 : 196,368.36 = 78,633.20 : x
  2. Step 2: Convert to fraction form
    142,295.96/196,368.36 = 78,633.20/x
  3. Step 3: Cross multiply
    142,295.96x = 196,368.36 × 78,633.20
  4. Step 4: Simplify right side
    142,295.96x = 15,441,072,525.55
  5. Step 5: Solve for x
    x = 15,441,072,525.55/142,295.96
  6. Step 6: Final answer
    x = 108,513.78

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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.