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Finding the Fourth Proportional to 142,393.68, 196,493.40 and 78,730.92

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Solution

The fourth proportional to 142,393.68, 196,493.40 and 78,730.92 is: 108,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,393.68 : 196,493.40 = 78,730.92 : x
  2. Step 2: Convert to fraction form
    142,393.68/196,493.40 = 78,730.92/x
  3. Step 3: Cross multiply
    142,393.68x = 196,493.40 × 78,730.92
  4. Step 4: Simplify right side
    142,393.68x = 15,470,106,155.93
  5. Step 5: Solve for x
    x = 15,470,106,155.93/142,393.68
  6. Step 6: Final answer
    x = 108,643.21

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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.