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Finding the Fourth Proportional to 206,551.16, 285,041.72 and 120,570.20

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Solution

The fourth proportional to 206,551.16, 285,041.72 and 120,570.20 is: 166,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,551.16 : 285,041.72 = 120,570.20 : x
  2. Step 2: Convert to fraction form
    206,551.16/285,041.72 = 120,570.20/x
  3. Step 3: Cross multiply
    206,551.16x = 285,041.72 × 120,570.20
  4. Step 4: Simplify right side
    206,551.16x = 34,367,537,188.74
  5. Step 5: Solve for x
    x = 34,367,537,188.74/206,551.16
  6. Step 6: Final answer
    x = 166,387.53

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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.