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Finding the Fourth Proportional to 105,282.34, 145,286.25 and 57,535.54

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Solution

The fourth proportional to 105,282.34, 145,286.25 and 57,535.54 is: 79,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,282.34 : 145,286.25 = 57,535.54 : x
  2. Step 2: Convert to fraction form
    105,282.34/145,286.25 = 57,535.54/x
  3. Step 3: Cross multiply
    105,282.34x = 145,286.25 × 57,535.54
  4. Step 4: Simplify right side
    105,282.34x = 8,359,122,848.33
  5. Step 5: Solve for x
    x = 8,359,122,848.33/105,282.34
  6. Step 6: Final answer
    x = 79,397.20

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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.