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Finding the Fourth Proportional to 195,088.95, 269,221.14 and 137,027.25

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Solution

The fourth proportional to 195,088.95, 269,221.14 and 137,027.25 is: 189,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,088.95 : 269,221.14 = 137,027.25 : x
  2. Step 2: Convert to fraction form
    195,088.95/269,221.14 = 137,027.25/x
  3. Step 3: Cross multiply
    195,088.95x = 269,221.14 × 137,027.25
  4. Step 4: Simplify right side
    195,088.95x = 36,890,632,456.07
  5. Step 5: Solve for x
    x = 36,890,632,456.07/195,088.95
  6. Step 6: Final answer
    x = 189,096.47

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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.