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Finding the Fourth Proportional to 206,156.76, 284,669.70 and 155,080.96

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Solution

The fourth proportional to 206,156.76, 284,669.70 and 155,080.96 is: 214,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,156.76 : 284,669.70 = 155,080.96 : x
  2. Step 2: Convert to fraction form
    206,156.76/284,669.70 = 155,080.96/x
  3. Step 3: Cross multiply
    206,156.76x = 284,669.70 × 155,080.96
  4. Step 4: Simplify right side
    206,156.76x = 44,146,850,358.91
  5. Step 5: Solve for x
    x = 44,146,850,358.91/206,156.76
  6. Step 6: Final answer
    x = 214,142.14

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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.