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Finding the Fourth Proportional to 142,116.49, 196,120.75 and 78,454.74

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Solution

The fourth proportional to 142,116.49, 196,120.75 and 78,454.74 is: 108,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,116.49 : 196,120.75 = 78,454.74 : x
  2. Step 2: Convert to fraction form
    142,116.49/196,120.75 = 78,454.74/x
  3. Step 3: Cross multiply
    142,116.49x = 196,120.75 × 78,454.74
  4. Step 4: Simplify right side
    142,116.49x = 15,386,602,449.86
  5. Step 5: Solve for x
    x = 15,386,602,449.86/142,116.49
  6. Step 6: Final answer
    x = 108,267.54

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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.