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Finding the Fourth Proportional to 107,082.96, 160,771.56 and 54,527.76

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Solution

The fourth proportional to 107,082.96, 160,771.56 and 54,527.76 is: 81,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,082.96 : 160,771.56 = 54,527.76 : x
  2. Step 2: Convert to fraction form
    107,082.96/160,771.56 = 54,527.76/x
  3. Step 3: Cross multiply
    107,082.96x = 160,771.56 × 54,527.76
  4. Step 4: Simplify right side
    107,082.96x = 8,766,513,038.51
  5. Step 5: Solve for x
    x = 8,766,513,038.51/107,082.96
  6. Step 6: Final answer
    x = 81,866.56

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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.