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Finding the Fourth Proportional to 206,970.39, 285,642.81 and 115,098.84

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Solution

The fourth proportional to 206,970.39, 285,642.81 and 115,098.84 is: 158,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,970.39 : 285,642.81 = 115,098.84 : x
  2. Step 2: Convert to fraction form
    206,970.39/285,642.81 = 115,098.84/x
  3. Step 3: Cross multiply
    206,970.39x = 285,642.81 × 115,098.84
  4. Step 4: Simplify right side
    206,970.39x = 32,877,156,085.34
  5. Step 5: Solve for x
    x = 32,877,156,085.34/206,970.39
  6. Step 6: Final answer
    x = 158,849.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.