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Finding the Fourth Proportional to 100,077.72, 138,141.96 and 57,653.16

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Solution

The fourth proportional to 100,077.72, 138,141.96 and 57,653.16 is: 79,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,077.72 : 138,141.96 = 57,653.16 : x
  2. Step 2: Convert to fraction form
    100,077.72/138,141.96 = 57,653.16/x
  3. Step 3: Cross multiply
    100,077.72x = 138,141.96 × 57,653.16
  4. Step 4: Simplify right side
    100,077.72x = 7,964,320,522.59
  5. Step 5: Solve for x
    x = 7,964,320,522.59/100,077.72
  6. Step 6: Final answer
    x = 79,581.35

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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.