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Finding the Fourth Proportional to 205,002.96, 307,641.24 and 71,883.12

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Solution

The fourth proportional to 205,002.96, 307,641.24 and 71,883.12 is: 107,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,002.96 : 307,641.24 = 71,883.12 : x
  2. Step 2: Convert to fraction form
    205,002.96/307,641.24 = 71,883.12/x
  3. Step 3: Cross multiply
    205,002.96x = 307,641.24 × 71,883.12
  4. Step 4: Simplify right side
    205,002.96x = 22,114,212,171.87
  5. Step 5: Solve for x
    x = 22,114,212,171.87/205,002.96
  6. Step 6: Final answer
    x = 107,872.65

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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.