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Finding the Fourth Proportional to 195,422.10, 293,133.15 and 194,255.70

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Solution

The fourth proportional to 195,422.10, 293,133.15 and 194,255.70 is: 291,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,422.10 : 293,133.15 = 194,255.70 : x
  2. Step 2: Convert to fraction form
    195,422.10/293,133.15 = 194,255.70/x
  3. Step 3: Cross multiply
    195,422.10x = 293,133.15 × 194,255.70
  4. Step 4: Simplify right side
    195,422.10x = 56,942,785,246.46
  5. Step 5: Solve for x
    x = 56,942,785,246.46/195,422.10
  6. Step 6: Final answer
    x = 291,383.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.