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Finding the Fourth Proportional to 206,721.70, 310,082.55 and 56,961.70

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Solution

The fourth proportional to 206,721.70, 310,082.55 and 56,961.70 is: 85,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,721.70 : 310,082.55 = 56,961.70 : x
  2. Step 2: Convert to fraction form
    206,721.70/310,082.55 = 56,961.70/x
  3. Step 3: Cross multiply
    206,721.70x = 310,082.55 × 56,961.70
  4. Step 4: Simplify right side
    206,721.70x = 17,662,829,188.34
  5. Step 5: Solve for x
    x = 17,662,829,188.34/206,721.70
  6. Step 6: Final answer
    x = 85,442.55

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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.