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Finding the Fourth Proportional to 133,888.32, 200,857.08 and 109,145.20

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Solution

The fourth proportional to 133,888.32, 200,857.08 and 109,145.20 is: 163,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,888.32 : 200,857.08 = 109,145.20 : x
  2. Step 2: Convert to fraction form
    133,888.32/200,857.08 = 109,145.20/x
  3. Step 3: Cross multiply
    133,888.32x = 200,857.08 × 109,145.20
  4. Step 4: Simplify right side
    133,888.32x = 21,922,586,168.02
  5. Step 5: Solve for x
    x = 21,922,586,168.02/133,888.32
  6. Step 6: Final answer
    x = 163,737.85

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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.