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Finding the Fourth Proportional to 238,662.54, 357,975 and 138,758.94

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Solution

The fourth proportional to 238,662.54, 357,975 and 138,758.94 is: 208,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,662.54 : 357,975 = 138,758.94 : x
  2. Step 2: Convert to fraction form
    238,662.54/357,975 = 138,758.94/x
  3. Step 3: Cross multiply
    238,662.54x = 357,975 × 138,758.94
  4. Step 4: Simplify right side
    238,662.54x = 49,672,231,546.50
  5. Step 5: Solve for x
    x = 49,672,231,546.50/238,662.54
  6. Step 6: Final answer
    x = 208,127.47

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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.