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Finding the Fourth Proportional to 154,461.60, 231,433.20 and 75,405.60

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Solution

The fourth proportional to 154,461.60, 231,433.20 and 75,405.60 is: 112,981.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,461.60 : 231,433.20 = 75,405.60 : x
  2. Step 2: Convert to fraction form
    154,461.60/231,433.20 = 75,405.60/x
  3. Step 3: Cross multiply
    154,461.60x = 231,433.20 × 75,405.60
  4. Step 4: Simplify right side
    154,461.60x = 17,451,359,305.92
  5. Step 5: Solve for x
    x = 17,451,359,305.92/154,461.60
  6. Step 6: Final answer
    x = 112,981.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.