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Finding the Fourth Proportional to 243,727.56, 365,455.50 and 75,200.04

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Solution

The fourth proportional to 243,727.56, 365,455.50 and 75,200.04 is: 112,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,727.56 : 365,455.50 = 75,200.04 : x
  2. Step 2: Convert to fraction form
    243,727.56/365,455.50 = 75,200.04/x
  3. Step 3: Cross multiply
    243,727.56x = 365,455.50 × 75,200.04
  4. Step 4: Simplify right side
    243,727.56x = 27,482,268,218.22
  5. Step 5: Solve for x
    x = 27,482,268,218.22/243,727.56
  6. Step 6: Final answer
    x = 112,758.15

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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.