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Finding the Fourth Proportional to 113,314.20, 169,971.30 and 75,989.40

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Solution

The fourth proportional to 113,314.20, 169,971.30 and 75,989.40 is: 113,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,314.20 : 169,971.30 = 75,989.40 : x
  2. Step 2: Convert to fraction form
    113,314.20/169,971.30 = 75,989.40/x
  3. Step 3: Cross multiply
    113,314.20x = 169,971.30 × 75,989.40
  4. Step 4: Simplify right side
    113,314.20x = 12,916,017,104.22
  5. Step 5: Solve for x
    x = 12,916,017,104.22/113,314.20
  6. Step 6: Final answer
    x = 113,984.10

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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.