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Finding the Fourth Proportional to 238,588.88, 357,824.27 and 142,552.31

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Solution

The fourth proportional to 238,588.88, 357,824.27 and 142,552.31 is: 213,793.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,588.88 : 357,824.27 = 142,552.31 : x
  2. Step 2: Convert to fraction form
    238,588.88/357,824.27 = 142,552.31/x
  3. Step 3: Cross multiply
    238,588.88x = 357,824.27 × 142,552.31
  4. Step 4: Simplify right side
    238,588.88x = 51,008,673,760.68
  5. Step 5: Solve for x
    x = 51,008,673,760.68/238,588.88
  6. Step 6: Final answer
    x = 213,793.18

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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.