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Finding the Fourth Proportional to 207,224.12, 285,968.82 and 116,580.12

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Solution

The fourth proportional to 207,224.12, 285,968.82 and 116,580.12 is: 160,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,224.12 : 285,968.82 = 116,580.12 : x
  2. Step 2: Convert to fraction form
    207,224.12/285,968.82 = 116,580.12/x
  3. Step 3: Cross multiply
    207,224.12x = 285,968.82 × 116,580.12
  4. Step 4: Simplify right side
    207,224.12x = 33,338,279,351.86
  5. Step 5: Solve for x
    x = 33,338,279,351.86/207,224.12
  6. Step 6: Final answer
    x = 160,880.30

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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.