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Finding the Fourth Proportional to 206,133.64, 284,445.30 and 116,709.64

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Solution

The fourth proportional to 206,133.64, 284,445.30 and 116,709.64 is: 161,048.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,133.64 : 284,445.30 = 116,709.64 : x
  2. Step 2: Convert to fraction form
    206,133.64/284,445.30 = 116,709.64/x
  3. Step 3: Cross multiply
    206,133.64x = 284,445.30 × 116,709.64
  4. Step 4: Simplify right side
    206,133.64x = 33,197,508,562.69
  5. Step 5: Solve for x
    x = 33,197,508,562.69/206,133.64
  6. Step 6: Final answer
    x = 161,048.48

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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.