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Finding the Fourth Proportional to 195,447.84, 269,724.64 and 114,874.20

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Solution

The fourth proportional to 195,447.84, 269,724.64 and 114,874.20 is: 158,530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,447.84 : 269,724.64 = 114,874.20 : x
  2. Step 2: Convert to fraction form
    195,447.84/269,724.64 = 114,874.20/x
  3. Step 3: Cross multiply
    195,447.84x = 269,724.64 × 114,874.20
  4. Step 4: Simplify right side
    195,447.84x = 30,984,402,240.29
  5. Step 5: Solve for x
    x = 30,984,402,240.29/195,447.84
  6. Step 6: Final answer
    x = 158,530.29

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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.