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Finding the Fourth Proportional to 206,763.72, 285,299.76 and 121,897.16

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Solution

The fourth proportional to 206,763.72, 285,299.76 and 121,897.16 is: 168,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,763.72 : 285,299.76 = 121,897.16 : x
  2. Step 2: Convert to fraction form
    206,763.72/285,299.76 = 121,897.16/x
  3. Step 3: Cross multiply
    206,763.72x = 285,299.76 × 121,897.16
  4. Step 4: Simplify right side
    206,763.72x = 34,777,230,492.68
  5. Step 5: Solve for x
    x = 34,777,230,492.68/206,763.72
  6. Step 6: Final answer
    x = 168,197.93

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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.