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Finding the Fourth Proportional to 136,116.32, 203,737.68 and 72,778.16

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Solution

The fourth proportional to 136,116.32, 203,737.68 and 72,778.16 is: 108,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,116.32 : 203,737.68 = 72,778.16 : x
  2. Step 2: Convert to fraction form
    136,116.32/203,737.68 = 72,778.16/x
  3. Step 3: Cross multiply
    136,116.32x = 203,737.68 × 72,778.16
  4. Step 4: Simplify right side
    136,116.32x = 14,827,653,473.07
  5. Step 5: Solve for x
    x = 14,827,653,473.07/136,116.32
  6. Step 6: Final answer
    x = 108,933.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.