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Finding the Fourth Proportional to 238,431.80, 357,647.70 and 149,747.60

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Solution

The fourth proportional to 238,431.80, 357,647.70 and 149,747.60 is: 224,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,431.80 : 357,647.70 = 149,747.60 : x
  2. Step 2: Convert to fraction form
    238,431.80/357,647.70 = 149,747.60/x
  3. Step 3: Cross multiply
    238,431.80x = 357,647.70 × 149,747.60
  4. Step 4: Simplify right side
    238,431.80x = 53,556,884,720.52
  5. Step 5: Solve for x
    x = 53,556,884,720.52/238,431.80
  6. Step 6: Final answer
    x = 224,621.40

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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.