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Finding the Fourth Proportional to 136,015.36, 204,062.72 and 57,088

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Solution

The fourth proportional to 136,015.36, 204,062.72 and 57,088 is: 85,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,015.36 : 204,062.72 = 57,088 : x
  2. Step 2: Convert to fraction form
    136,015.36/204,062.72 = 57,088/x
  3. Step 3: Cross multiply
    136,015.36x = 204,062.72 × 57,088
  4. Step 4: Simplify right side
    136,015.36x = 11,649,532,559.36
  5. Step 5: Solve for x
    x = 11,649,532,559.36/136,015.36
  6. Step 6: Final answer
    x = 85,648.65

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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.