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Finding the Fourth Proportional to 266,052.60, 398,541.30 and 165,905.40

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Solution

The fourth proportional to 266,052.60, 398,541.30 and 165,905.40 is: 248,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,052.60 : 398,541.30 = 165,905.40 : x
  2. Step 2: Convert to fraction form
    266,052.60/398,541.30 = 165,905.40/x
  3. Step 3: Cross multiply
    266,052.60x = 398,541.30 × 165,905.40
  4. Step 4: Simplify right side
    266,052.60x = 66,120,153,793.02
  5. Step 5: Solve for x
    x = 66,120,153,793.02/266,052.60
  6. Step 6: Final answer
    x = 248,522.86

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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.