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Finding the Fourth Proportional to 193,115.50, 289,673.64 and 82,307.50

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Solution

The fourth proportional to 193,115.50, 289,673.64 and 82,307.50 is: 123,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,115.50 : 289,673.64 = 82,307.50 : x
  2. Step 2: Convert to fraction form
    193,115.50/289,673.64 = 82,307.50/x
  3. Step 3: Cross multiply
    193,115.50x = 289,673.64 × 82,307.50
  4. Step 4: Simplify right side
    193,115.50x = 23,842,313,124.30
  5. Step 5: Solve for x
    x = 23,842,313,124.30/193,115.50
  6. Step 6: Final answer
    x = 123,461.42

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1.5x scale

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.