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Finding the Fourth Proportional to 206,783.56, 285,341.16 and 116,118.91

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Solution

The fourth proportional to 206,783.56, 285,341.16 and 116,118.91 is: 160,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,783.56 : 285,341.16 = 116,118.91 : x
  2. Step 2: Convert to fraction form
    206,783.56/285,341.16 = 116,118.91/x
  3. Step 3: Cross multiply
    206,783.56x = 285,341.16 × 116,118.91
  4. Step 4: Simplify right side
    206,783.56x = 33,133,504,477.34
  5. Step 5: Solve for x
    x = 33,133,504,477.34/206,783.56
  6. Step 6: Final answer
    x = 160,232.78

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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.