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Finding the Fourth Proportional to 206,824.70, 310,237.05 and 128,092.70

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Solution

The fourth proportional to 206,824.70, 310,237.05 and 128,092.70 is: 192,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,824.70 : 310,237.05 = 128,092.70 : x
  2. Step 2: Convert to fraction form
    206,824.70/310,237.05 = 128,092.70/x
  3. Step 3: Cross multiply
    206,824.70x = 310,237.05 × 128,092.70
  4. Step 4: Simplify right side
    206,824.70x = 39,739,101,374.54
  5. Step 5: Solve for x
    x = 39,739,101,374.54/206,824.70
  6. Step 6: Final answer
    x = 192,139.05

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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.