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Finding the Fourth Proportional to 195,443.40, 293,165.10 and 84,851.40

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Solution

The fourth proportional to 195,443.40, 293,165.10 and 84,851.40 is: 127,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,443.40 : 293,165.10 = 84,851.40 : x
  2. Step 2: Convert to fraction form
    195,443.40/293,165.10 = 84,851.40/x
  3. Step 3: Cross multiply
    195,443.40x = 293,165.10 × 84,851.40
  4. Step 4: Simplify right side
    195,443.40x = 24,875,469,166.14
  5. Step 5: Solve for x
    x = 24,875,469,166.14/195,443.40
  6. Step 6: Final answer
    x = 127,277.10

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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.