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Finding the Fourth Proportional to 195,062.04, 269,185.95 and 105,638.04

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Solution

The fourth proportional to 195,062.04, 269,185.95 and 105,638.04 is: 145,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,062.04 : 269,185.95 = 105,638.04 : x
  2. Step 2: Convert to fraction form
    195,062.04/269,185.95 = 105,638.04/x
  3. Step 3: Cross multiply
    195,062.04x = 269,185.95 × 105,638.04
  4. Step 4: Simplify right side
    195,062.04x = 28,436,276,153.54
  5. Step 5: Solve for x
    x = 28,436,276,153.54/195,062.04
  6. Step 6: Final answer
    x = 145,780.68

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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.