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Finding the Fourth Proportional to 206,265.46, 284,666.50 and 115,621.60

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Solution

The fourth proportional to 206,265.46, 284,666.50 and 115,621.60 is: 159,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,265.46 : 284,666.50 = 115,621.60 : x
  2. Step 2: Convert to fraction form
    206,265.46/284,666.50 = 115,621.60/x
  3. Step 3: Cross multiply
    206,265.46x = 284,666.50 × 115,621.60
  4. Step 4: Simplify right side
    206,265.46x = 32,913,596,196.40
  5. Step 5: Solve for x
    x = 32,913,596,196.40/206,265.46
  6. Step 6: Final answer
    x = 159,569.11

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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.