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Finding the Fourth Proportional to 195,100.16, 269,237.76 and 105,676.16

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Solution

The fourth proportional to 195,100.16, 269,237.76 and 105,676.16 is: 145,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,100.16 : 269,237.76 = 105,676.16 : x
  2. Step 2: Convert to fraction form
    195,100.16/269,237.76 = 105,676.16/x
  3. Step 3: Cross multiply
    195,100.16x = 269,237.76 × 105,676.16
  4. Step 4: Simplify right side
    195,100.16x = 28,452,012,603.80
  5. Step 5: Solve for x
    x = 28,452,012,603.80/195,100.16
  6. Step 6: Final answer
    x = 145,832.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.