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Finding the Fourth Proportional to 193,711.56, 290,584.02 and 53,470.20

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Solution

The fourth proportional to 193,711.56, 290,584.02 and 53,470.20 is: 80,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,711.56 : 290,584.02 = 53,470.20 : x
  2. Step 2: Convert to fraction form
    193,711.56/290,584.02 = 53,470.20/x
  3. Step 3: Cross multiply
    193,711.56x = 290,584.02 × 53,470.20
  4. Step 4: Simplify right side
    193,711.56x = 15,537,585,666.20
  5. Step 5: Solve for x
    x = 15,537,585,666.20/193,711.56
  6. Step 6: Final answer
    x = 80,209.90

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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.