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Finding the Fourth Proportional to 243,902.70, 365,963.40 and 110,714.40

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Solution

The fourth proportional to 243,902.70, 365,963.40 and 110,714.40 is: 166,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,902.70 : 365,963.40 = 110,714.40 : x
  2. Step 2: Convert to fraction form
    243,902.70/365,963.40 = 110,714.40/x
  3. Step 3: Cross multiply
    243,902.70x = 365,963.40 × 110,714.40
  4. Step 4: Simplify right side
    243,902.70x = 40,517,418,252.96
  5. Step 5: Solve for x
    x = 40,517,418,252.96/243,902.70
  6. Step 6: Final answer
    x = 166,121.24

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1.5x scale

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.