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Finding the Fourth Proportional to 238,503.24, 357,771.42 and 80,678.34

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Solution

The fourth proportional to 238,503.24, 357,771.42 and 80,678.34 is: 121,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,503.24 : 357,771.42 = 80,678.34 : x
  2. Step 2: Convert to fraction form
    238,503.24/357,771.42 = 80,678.34/x
  3. Step 3: Cross multiply
    238,503.24x = 357,771.42 × 80,678.34
  4. Step 4: Simplify right side
    238,503.24x = 28,864,404,265.04
  5. Step 5: Solve for x
    x = 28,864,404,265.04/238,503.24
  6. Step 6: Final answer
    x = 121,023.11

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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.