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Finding the Fourth Proportional to 206,203.32, 284,551.98 and 116,779.32

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Solution

The fourth proportional to 206,203.32, 284,551.98 and 116,779.32 is: 161,150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,203.32 : 284,551.98 = 116,779.32 : x
  2. Step 2: Convert to fraction form
    206,203.32/284,551.98 = 116,779.32/x
  3. Step 3: Cross multiply
    206,203.32x = 284,551.98 × 116,779.32
  4. Step 4: Simplify right side
    206,203.32x = 33,229,786,729.05
  5. Step 5: Solve for x
    x = 33,229,786,729.05/206,203.32
  6. Step 6: Final answer
    x = 161,150.59

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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.