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Finding the Fourth Proportional to 207,164.01, 285,894.87 and 116,524.20

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Solution

The fourth proportional to 207,164.01, 285,894.87 and 116,524.20 is: 160,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,164.01 : 285,894.87 = 116,524.20 : x
  2. Step 2: Convert to fraction form
    207,164.01/285,894.87 = 116,524.20/x
  3. Step 3: Cross multiply
    207,164.01x = 285,894.87 × 116,524.20
  4. Step 4: Simplify right side
    207,164.01x = 33,313,671,010.85
  5. Step 5: Solve for x
    x = 33,313,671,010.85/207,164.01
  6. Step 6: Final answer
    x = 160,808.20

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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.