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Finding the Fourth Proportional to 204,002.70, 305,312.85 and 204,002.70

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Solution

The fourth proportional to 204,002.70, 305,312.85 and 204,002.70 is: 305,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,002.70 : 305,312.85 = 204,002.70 : x
  2. Step 2: Convert to fraction form
    204,002.70/305,312.85 = 204,002.70/x
  3. Step 3: Cross multiply
    204,002.70x = 305,312.85 × 204,002.70
  4. Step 4: Simplify right side
    204,002.70x = 62,284,645,744.70
  5. Step 5: Solve for x
    x = 62,284,645,744.70/204,002.70
  6. Step 6: Final answer
    x = 305,312.85

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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.