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Finding the Fourth Proportional to 200,557.38, 301,002.24 and 100,746.12

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Solution

The fourth proportional to 200,557.38, 301,002.24 and 100,746.12 is: 151,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,557.38 : 301,002.24 = 100,746.12 : x
  2. Step 2: Convert to fraction form
    200,557.38/301,002.24 = 100,746.12/x
  3. Step 3: Cross multiply
    200,557.38x = 301,002.24 × 100,746.12
  4. Step 4: Simplify right side
    200,557.38x = 30,324,807,791.31
  5. Step 5: Solve for x
    x = 30,324,807,791.31/200,557.38
  6. Step 6: Final answer
    x = 151,202.65

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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.