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Finding the Fourth Proportional to 113,883.60, 170,825.40 and 102,824.40

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Solution

The fourth proportional to 113,883.60, 170,825.40 and 102,824.40 is: 154,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,883.60 : 170,825.40 = 102,824.40 : x
  2. Step 2: Convert to fraction form
    113,883.60/170,825.40 = 102,824.40/x
  3. Step 3: Cross multiply
    113,883.60x = 170,825.40 × 102,824.40
  4. Step 4: Simplify right side
    113,883.60x = 17,565,019,259.76
  5. Step 5: Solve for x
    x = 17,565,019,259.76/113,883.60
  6. Step 6: Final answer
    x = 154,236.60

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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.