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Finding the Fourth Proportional to 105,548.88, 145,657.92 and 57,802.56

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Solution

The fourth proportional to 105,548.88, 145,657.92 and 57,802.56 is: 79,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,548.88 : 145,657.92 = 57,802.56 : x
  2. Step 2: Convert to fraction form
    105,548.88/145,657.92 = 57,802.56/x
  3. Step 3: Cross multiply
    105,548.88x = 145,657.92 × 57,802.56
  4. Step 4: Simplify right side
    105,548.88x = 8,419,400,660.28
  5. Step 5: Solve for x
    x = 8,419,400,660.28/105,548.88
  6. Step 6: Final answer
    x = 79,767.79

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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.