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Finding the Fourth Proportional to 204,875.52, 307,354.58 and 86,546.67

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Solution

The fourth proportional to 204,875.52, 307,354.58 and 86,546.67 is: 129,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,875.52 : 307,354.58 = 86,546.67 : x
  2. Step 2: Convert to fraction form
    204,875.52/307,354.58 = 86,546.67/x
  3. Step 3: Cross multiply
    204,875.52x = 307,354.58 × 86,546.67
  4. Step 4: Simplify right side
    204,875.52x = 26,600,515,408.25
  5. Step 5: Solve for x
    x = 26,600,515,408.25/204,875.52
  6. Step 6: Final answer
    x = 129,837.45

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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.