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Finding the Fourth Proportional to 131,409.60, 197,114.40 and 75,422.40

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Solution

The fourth proportional to 131,409.60, 197,114.40 and 75,422.40 is: 113,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,409.60 : 197,114.40 = 75,422.40 : x
  2. Step 2: Convert to fraction form
    131,409.60/197,114.40 = 75,422.40/x
  3. Step 3: Cross multiply
    131,409.60x = 197,114.40 × 75,422.40
  4. Step 4: Simplify right side
    131,409.60x = 14,866,841,122.56
  5. Step 5: Solve for x
    x = 14,866,841,122.56/131,409.60
  6. Step 6: Final answer
    x = 113,133.60

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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.