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Finding the Fourth Proportional to 195,489.48, 269,695.30 and 118,947.22

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Solution

The fourth proportional to 195,489.48, 269,695.30 and 118,947.22 is: 164,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,489.48 : 269,695.30 = 118,947.22 : x
  2. Step 2: Convert to fraction form
    195,489.48/269,695.30 = 118,947.22/x
  3. Step 3: Cross multiply
    195,489.48x = 269,695.30 × 118,947.22
  4. Step 4: Simplify right side
    195,489.48x = 32,079,506,182.07
  5. Step 5: Solve for x
    x = 32,079,506,182.07/195,489.48
  6. Step 6: Final answer
    x = 164,098.38

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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.