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Finding the Fourth Proportional to 154,586.70, 231,967.74 and 65,830.96

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Solution

The fourth proportional to 154,586.70, 231,967.74 and 65,830.96 is: 98,783.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,586.70 : 231,967.74 = 65,830.96 : x
  2. Step 2: Convert to fraction form
    154,586.70/231,967.74 = 65,830.96/x
  3. Step 3: Cross multiply
    154,586.70x = 231,967.74 × 65,830.96
  4. Step 4: Simplify right side
    154,586.70x = 15,270,659,013.23
  5. Step 5: Solve for x
    x = 15,270,659,013.23/154,586.70
  6. Step 6: Final answer
    x = 98,783.78

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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.