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Finding the Fourth Proportional to 195,687.84, 270,097.62 and 110,854.92

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Solution

The fourth proportional to 195,687.84, 270,097.62 and 110,854.92 is: 153,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,687.84 : 270,097.62 = 110,854.92 : x
  2. Step 2: Convert to fraction form
    195,687.84/270,097.62 = 110,854.92/x
  3. Step 3: Cross multiply
    195,687.84x = 270,097.62 × 110,854.92
  4. Step 4: Simplify right side
    195,687.84x = 29,941,650,057.29
  5. Step 5: Solve for x
    x = 29,941,650,057.29/195,687.84
  6. Step 6: Final answer
    x = 153,007.21

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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.