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Finding the Fourth Proportional to 195,881.40, 293,822.10 and 85,289.40

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Solution

The fourth proportional to 195,881.40, 293,822.10 and 85,289.40 is: 127,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,881.40 : 293,822.10 = 85,289.40 : x
  2. Step 2: Convert to fraction form
    195,881.40/293,822.10 = 85,289.40/x
  3. Step 3: Cross multiply
    195,881.40x = 293,822.10 × 85,289.40
  4. Step 4: Simplify right side
    195,881.40x = 25,059,910,615.74
  5. Step 5: Solve for x
    x = 25,059,910,615.74/195,881.40
  6. Step 6: Final answer
    x = 127,934.10

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