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Finding the Fourth Proportional to 238,345.92, 356,974.24 and 113,774.40

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Solution

The fourth proportional to 238,345.92, 356,974.24 and 113,774.40 is: 170,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,345.92 : 356,974.24 = 113,774.40 : x
  2. Step 2: Convert to fraction form
    238,345.92/356,974.24 = 113,774.40/x
  3. Step 3: Cross multiply
    238,345.92x = 356,974.24 × 113,774.40
  4. Step 4: Simplify right side
    238,345.92x = 40,614,529,971.46
  5. Step 5: Solve for x
    x = 40,614,529,971.46/238,345.92
  6. Step 6: Final answer
    x = 170,401.62

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Why These Related Problems?

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