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Finding the Fourth Proportional to 107,076.96, 160,762.56 and 54,521.76

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Solution

The fourth proportional to 107,076.96, 160,762.56 and 54,521.76 is: 81,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,076.96 : 160,762.56 = 54,521.76 : x
  2. Step 2: Convert to fraction form
    107,076.96/160,762.56 = 54,521.76/x
  3. Step 3: Cross multiply
    107,076.96x = 160,762.56 × 54,521.76
  4. Step 4: Simplify right side
    107,076.96x = 8,765,057,713.31
  5. Step 5: Solve for x
    x = 8,765,057,713.31/107,076.96
  6. Step 6: Final answer
    x = 81,857.55

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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.