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Finding the Fourth Proportional to 103,825.60, 155,738.40 and 101,857.30

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Solution

The fourth proportional to 103,825.60, 155,738.40 and 101,857.30 is: 152,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,825.60 : 155,738.40 = 101,857.30 : x
  2. Step 2: Convert to fraction form
    103,825.60/155,738.40 = 101,857.30/x
  3. Step 3: Cross multiply
    103,825.60x = 155,738.40 × 101,857.30
  4. Step 4: Simplify right side
    103,825.60x = 15,863,092,930.32
  5. Step 5: Solve for x
    x = 15,863,092,930.32/103,825.60
  6. Step 6: Final answer
    x = 152,785.95

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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.