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Finding the Fourth Proportional to 193,434.68, 290,047.46 and 67,065.72

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Solution

The fourth proportional to 193,434.68, 290,047.46 and 67,065.72 is: 100,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,434.68 : 290,047.46 = 67,065.72 : x
  2. Step 2: Convert to fraction form
    193,434.68/290,047.46 = 67,065.72/x
  3. Step 3: Cross multiply
    193,434.68x = 290,047.46 × 67,065.72
  4. Step 4: Simplify right side
    193,434.68x = 19,452,242,136.20
  5. Step 5: Solve for x
    x = 19,452,242,136.20/193,434.68
  6. Step 6: Final answer
    x = 100,562.33

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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.