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Finding the Fourth Proportional to 83,142.88, 114,739.69 and 45,419.56

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Solution

The fourth proportional to 83,142.88, 114,739.69 and 45,419.56 is: 62,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,142.88 : 114,739.69 = 45,419.56 : x
  2. Step 2: Convert to fraction form
    83,142.88/114,739.69 = 45,419.56/x
  3. Step 3: Cross multiply
    83,142.88x = 114,739.69 × 45,419.56
  4. Step 4: Simplify right side
    83,142.88x = 5,211,425,547.09
  5. Step 5: Solve for x
    x = 5,211,425,547.09/83,142.88
  6. Step 6: Final answer
    x = 62,680.36

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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.