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Finding the Fourth Proportional to 268,243.32, 402,427.24 and 78,696

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Solution

The fourth proportional to 268,243.32, 402,427.24 and 78,696 is: 118,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,243.32 : 402,427.24 = 78,696 : x
  2. Step 2: Convert to fraction form
    268,243.32/402,427.24 = 78,696/x
  3. Step 3: Cross multiply
    268,243.32x = 402,427.24 × 78,696
  4. Step 4: Simplify right side
    268,243.32x = 31,669,414,079.04
  5. Step 5: Solve for x
    x = 31,669,414,079.04/268,243.32
  6. Step 6: Final answer
    x = 118,062.27

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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.