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Finding the Fourth Proportional to 154,422.70, 231,524.70 and 70,223.20

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Solution

The fourth proportional to 154,422.70, 231,524.70 and 70,223.20 is: 105,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,422.70 : 231,524.70 = 70,223.20 : x
  2. Step 2: Convert to fraction form
    154,422.70/231,524.70 = 70,223.20/x
  3. Step 3: Cross multiply
    154,422.70x = 231,524.70 × 70,223.20
  4. Step 4: Simplify right side
    154,422.70x = 16,258,405,313.04
  5. Step 5: Solve for x
    x = 16,258,405,313.04/154,422.70
  6. Step 6: Final answer
    x = 105,285.07

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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.