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Finding the Fourth Proportional to 254,233, 381,349.50 and 88,021

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Solution

The fourth proportional to 254,233, 381,349.50 and 88,021 is: 132,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,233 : 381,349.50 = 88,021 : x
  2. Step 2: Convert to fraction form
    254,233/381,349.50 = 88,021/x
  3. Step 3: Cross multiply
    254,233x = 381,349.50 × 88,021
  4. Step 4: Simplify right side
    254,233x = 33,566,764,339.50
  5. Step 5: Solve for x
    x = 33,566,764,339.50/254,233
  6. Step 6: Final answer
    x = 132,031.50

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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.