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Finding the Fourth Proportional to 81,304, 122,565.43 and 75,885.16

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Solution

The fourth proportional to 81,304, 122,565.43 and 75,885.16 is: 114,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,304 : 122,565.43 = 75,885.16 : x
  2. Step 2: Convert to fraction form
    81,304/122,565.43 = 75,885.16/x
  3. Step 3: Cross multiply
    81,304x = 122,565.43 × 75,885.16
  4. Step 4: Simplify right side
    81,304x = 9,300,897,266.02
  5. Step 5: Solve for x
    x = 9,300,897,266.02/81,304
  6. Step 6: Final answer
    x = 114,396.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.