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Finding the Fourth Proportional to 238,125.78, 357,288.63 and 148,243.67

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Solution

The fourth proportional to 238,125.78, 357,288.63 and 148,243.67 is: 222,427.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,125.78 : 357,288.63 = 148,243.67 : x
  2. Step 2: Convert to fraction form
    238,125.78/357,288.63 = 148,243.67/x
  3. Step 3: Cross multiply
    238,125.78x = 357,288.63 × 148,243.67
  4. Step 4: Simplify right side
    238,125.78x = 52,965,775,974.03
  5. Step 5: Solve for x
    x = 52,965,775,974.03/238,125.78
  6. Step 6: Final answer
    x = 222,427.73

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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.