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Finding the Fourth Proportional to 238,429.54, 357,736.02 and 105,215.68

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Solution

The fourth proportional to 238,429.54, 357,736.02 and 105,215.68 is: 157,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,429.54 : 357,736.02 = 105,215.68 : x
  2. Step 2: Convert to fraction form
    238,429.54/357,736.02 = 105,215.68/x
  3. Step 3: Cross multiply
    238,429.54x = 357,736.02 × 105,215.68
  4. Step 4: Simplify right side
    238,429.54x = 37,639,438,604.79
  5. Step 5: Solve for x
    x = 37,639,438,604.79/238,429.54
  6. Step 6: Final answer
    x = 157,863.99

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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.