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Finding the Fourth Proportional to 205,713.70, 308,570.55 and 170,721.70

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Solution

The fourth proportional to 205,713.70, 308,570.55 and 170,721.70 is: 256,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,713.70 : 308,570.55 = 170,721.70 : x
  2. Step 2: Convert to fraction form
    205,713.70/308,570.55 = 170,721.70/x
  3. Step 3: Cross multiply
    205,713.70x = 308,570.55 × 170,721.70
  4. Step 4: Simplify right side
    205,713.70x = 52,679,688,865.94
  5. Step 5: Solve for x
    x = 52,679,688,865.94/205,713.70
  6. Step 6: Final answer
    x = 256,082.55

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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.