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Finding the Fourth Proportional to 195,422.40, 293,133.60 and 193,348.80

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Solution

The fourth proportional to 195,422.40, 293,133.60 and 193,348.80 is: 290,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,422.40 : 293,133.60 = 193,348.80 : x
  2. Step 2: Convert to fraction form
    195,422.40/293,133.60 = 193,348.80/x
  3. Step 3: Cross multiply
    195,422.40x = 293,133.60 × 193,348.80
  4. Step 4: Simplify right side
    195,422.40x = 56,677,029,799.68
  5. Step 5: Solve for x
    x = 56,677,029,799.68/195,422.40
  6. Step 6: Final answer
    x = 290,023.20

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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.