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Finding the Fourth Proportional to 102,103.62, 140,915.55 and 61,831.38

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Solution

The fourth proportional to 102,103.62, 140,915.55 and 61,831.38 is: 85,334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,103.62 : 140,915.55 = 61,831.38 : x
  2. Step 2: Convert to fraction form
    102,103.62/140,915.55 = 61,831.38/x
  3. Step 3: Cross multiply
    102,103.62x = 140,915.55 × 61,831.38
  4. Step 4: Simplify right side
    102,103.62x = 8,713,002,919.96
  5. Step 5: Solve for x
    x = 8,713,002,919.96/102,103.62
  6. Step 6: Final answer
    x = 85,334.91

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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.