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Finding the Fourth Proportional to 193,117.20, 289,675.80 and 82,294.80

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Solution

The fourth proportional to 193,117.20, 289,675.80 and 82,294.80 is: 123,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,117.20 : 289,675.80 = 82,294.80 : x
  2. Step 2: Convert to fraction form
    193,117.20/289,675.80 = 82,294.80/x
  3. Step 3: Cross multiply
    193,117.20x = 289,675.80 × 82,294.80
  4. Step 4: Simplify right side
    193,117.20x = 23,838,812,025.84
  5. Step 5: Solve for x
    x = 23,838,812,025.84/193,117.20
  6. Step 6: Final answer
    x = 123,442.20

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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.