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Finding the Fourth Proportional to 367,202.52, 506,743.56 and 203,870.16

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Solution

The fourth proportional to 367,202.52, 506,743.56 and 203,870.16 is: 281,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,202.52 : 506,743.56 = 203,870.16 : x
  2. Step 2: Convert to fraction form
    367,202.52/506,743.56 = 203,870.16/x
  3. Step 3: Cross multiply
    367,202.52x = 506,743.56 × 203,870.16
  4. Step 4: Simplify right side
    367,202.52x = 103,309,890,656.17
  5. Step 5: Solve for x
    x = 103,309,890,656.17/367,202.52
  6. Step 6: Final answer
    x = 281,343.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.