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Finding the Fourth Proportional to 100,146.32, 138,199.56 and 57,728.72

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Solution

The fourth proportional to 100,146.32, 138,199.56 and 57,728.72 is: 79,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,146.32 : 138,199.56 = 57,728.72 : x
  2. Step 2: Convert to fraction form
    100,146.32/138,199.56 = 57,728.72/x
  3. Step 3: Cross multiply
    100,146.32x = 138,199.56 × 57,728.72
  4. Step 4: Simplify right side
    100,146.32x = 7,978,083,703.36
  5. Step 5: Solve for x
    x = 7,978,083,703.36/100,146.32
  6. Step 6: Final answer
    x = 79,664.27

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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.