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Finding the Fourth Proportional to 238,071.50, 357,207.39 and 148,189.37

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Solution

The fourth proportional to 238,071.50, 357,207.39 and 148,189.37 is: 222,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,071.50 : 357,207.39 = 148,189.37 : x
  2. Step 2: Convert to fraction form
    238,071.50/357,207.39 = 148,189.37/x
  3. Step 3: Cross multiply
    238,071.50x = 357,207.39 × 148,189.37
  4. Step 4: Simplify right side
    238,071.50x = 52,934,338,083.44
  5. Step 5: Solve for x
    x = 52,934,338,083.44/238,071.50
  6. Step 6: Final answer
    x = 222,346.39

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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.