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Finding the Fourth Proportional to 154,295.20, 231,342.90 and 65,524.60

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Solution

The fourth proportional to 154,295.20, 231,342.90 and 65,524.60 is: 98,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,295.20 : 231,342.90 = 65,524.60 : x
  2. Step 2: Convert to fraction form
    154,295.20/231,342.90 = 65,524.60/x
  3. Step 3: Cross multiply
    154,295.20x = 231,342.90 × 65,524.60
  4. Step 4: Simplify right side
    154,295.20x = 15,158,650,985.34
  5. Step 5: Solve for x
    x = 15,158,650,985.34/154,295.20
  6. Step 6: Final answer
    x = 98,244.48

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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.