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Finding the Fourth Proportional to 193,293.36, 289,823.49 and 86,658

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Solution

The fourth proportional to 193,293.36, 289,823.49 and 86,658 is: 129,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,293.36 : 289,823.49 = 86,658 : x
  2. Step 2: Convert to fraction form
    193,293.36/289,823.49 = 86,658/x
  3. Step 3: Cross multiply
    193,293.36x = 289,823.49 × 86,658
  4. Step 4: Simplify right side
    193,293.36x = 25,115,523,996.42
  5. Step 5: Solve for x
    x = 25,115,523,996.42/193,293.36
  6. Step 6: Final answer
    x = 129,934.75

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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.