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Finding the Fourth Proportional to 185,696.83, 256,262.70 and 109,219.15

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Solution

The fourth proportional to 185,696.83, 256,262.70 and 109,219.15 is: 150,723.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,696.83 : 256,262.70 = 109,219.15 : x
  2. Step 2: Convert to fraction form
    185,696.83/256,262.70 = 109,219.15/x
  3. Step 3: Cross multiply
    185,696.83x = 256,262.70 × 109,219.15
  4. Step 4: Simplify right side
    185,696.83x = 27,988,794,270.71
  5. Step 5: Solve for x
    x = 27,988,794,270.71/185,696.83
  6. Step 6: Final answer
    x = 150,723.06

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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.