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Finding the Fourth Proportional to 154,496.60, 231,744.90 and 54,769.40

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Solution

The fourth proportional to 154,496.60, 231,744.90 and 54,769.40 is: 82,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,496.60 : 231,744.90 = 54,769.40 : x
  2. Step 2: Convert to fraction form
    154,496.60/231,744.90 = 54,769.40/x
  3. Step 3: Cross multiply
    154,496.60x = 231,744.90 × 54,769.40
  4. Step 4: Simplify right side
    154,496.60x = 12,692,529,126.06
  5. Step 5: Solve for x
    x = 12,692,529,126.06/154,496.60
  6. Step 6: Final answer
    x = 82,154.10

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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.