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Finding the Fourth Proportional to 178,790.64, 268,220.56 and 67,974

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Solution

The fourth proportional to 178,790.64, 268,220.56 and 67,974 is: 101,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,790.64 : 268,220.56 = 67,974 : x
  2. Step 2: Convert to fraction form
    178,790.64/268,220.56 = 67,974/x
  3. Step 3: Cross multiply
    178,790.64x = 268,220.56 × 67,974
  4. Step 4: Simplify right side
    178,790.64x = 18,232,024,345.44
  5. Step 5: Solve for x
    x = 18,232,024,345.44/178,790.64
  6. Step 6: Final answer
    x = 101,974.15

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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.