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Finding the Fourth Proportional to 119,138.28, 178,707.50 and 74,796.18

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Solution

The fourth proportional to 119,138.28, 178,707.50 and 74,796.18 is: 112,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,138.28 : 178,707.50 = 74,796.18 : x
  2. Step 2: Convert to fraction form
    119,138.28/178,707.50 = 74,796.18/x
  3. Step 3: Cross multiply
    119,138.28x = 178,707.50 × 74,796.18
  4. Step 4: Simplify right side
    119,138.28x = 13,366,638,337.35
  5. Step 5: Solve for x
    x = 13,366,638,337.35/119,138.28
  6. Step 6: Final answer
    x = 112,194.32

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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.