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Finding the Fourth Proportional to 206,674.61, 285,195.18 and 116,013.05

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Solution

The fourth proportional to 206,674.61, 285,195.18 and 116,013.05 is: 160,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,674.61 : 285,195.18 = 116,013.05 : x
  2. Step 2: Convert to fraction form
    206,674.61/285,195.18 = 116,013.05/x
  3. Step 3: Cross multiply
    206,674.61x = 285,195.18 × 116,013.05
  4. Step 4: Simplify right side
    206,674.61x = 33,086,362,677.10
  5. Step 5: Solve for x
    x = 33,086,362,677.10/206,674.61
  6. Step 6: Final answer
    x = 160,089.15

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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.