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Finding the Fourth Proportional to 127,258.49, 190,856.21 and 43,016.78

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Solution

The fourth proportional to 127,258.49, 190,856.21 and 43,016.78 is: 64,514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,258.49 : 190,856.21 = 43,016.78 : x
  2. Step 2: Convert to fraction form
    127,258.49/190,856.21 = 43,016.78/x
  3. Step 3: Cross multiply
    127,258.49x = 190,856.21 × 43,016.78
  4. Step 4: Simplify right side
    127,258.49x = 8,210,019,859.26
  5. Step 5: Solve for x
    x = 8,210,019,859.26/127,258.49
  6. Step 6: Final answer
    x = 64,514.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.