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Finding the Fourth Proportional to 195,073.13, 269,200.92 and 105,649.13

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Solution

The fourth proportional to 195,073.13, 269,200.92 and 105,649.13 is: 145,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,073.13 : 269,200.92 = 105,649.13 : x
  2. Step 2: Convert to fraction form
    195,073.13/269,200.92 = 105,649.13/x
  3. Step 3: Cross multiply
    195,073.13x = 269,200.92 × 105,649.13
  4. Step 4: Simplify right side
    195,073.13x = 28,440,842,993.20
  5. Step 5: Solve for x
    x = 28,440,842,993.20/195,073.13
  6. Step 6: Final answer
    x = 145,795.80

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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.