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Finding the Fourth Proportional to 136,154.64, 204,186.12 and 57,254.16

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Solution

The fourth proportional to 136,154.64, 204,186.12 and 57,254.16 is: 85,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,154.64 : 204,186.12 = 57,254.16 : x
  2. Step 2: Convert to fraction form
    136,154.64/204,186.12 = 57,254.16/x
  3. Step 3: Cross multiply
    136,154.64x = 204,186.12 × 57,254.16
  4. Step 4: Simplify right side
    136,154.64x = 11,690,504,784.26
  5. Step 5: Solve for x
    x = 11,690,504,784.26/136,154.64
  6. Step 6: Final answer
    x = 85,861.96

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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.