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Finding the Fourth Proportional to 206,690.04, 285,210.25 and 116,055.90

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Solution

The fourth proportional to 206,690.04, 285,210.25 and 116,055.90 is: 160,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,690.04 : 285,210.25 = 116,055.90 : x
  2. Step 2: Convert to fraction form
    206,690.04/285,210.25 = 116,055.90/x
  3. Step 3: Cross multiply
    206,690.04x = 285,210.25 × 116,055.90
  4. Step 4: Simplify right side
    206,690.04x = 33,100,331,962.84
  5. Step 5: Solve for x
    x = 33,100,331,962.84/206,690.04
  6. Step 6: Final answer
    x = 160,144.78

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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.