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Finding the Fourth Proportional to 142,168.16, 196,184.76 and 78,511.52

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Solution

The fourth proportional to 142,168.16, 196,184.76 and 78,511.52 is: 108,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,168.16 : 196,184.76 = 78,511.52 : x
  2. Step 2: Convert to fraction form
    142,168.16/196,184.76 = 78,511.52/x
  3. Step 3: Cross multiply
    142,168.16x = 196,184.76 × 78,511.52
  4. Step 4: Simplify right side
    142,168.16x = 15,402,763,708.44
  5. Step 5: Solve for x
    x = 15,402,763,708.44/142,168.16
  6. Step 6: Final answer
    x = 108,341.87

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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.