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Finding the Fourth Proportional to 193,793.49, 290,435.09 and 103,825.80

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Solution

The fourth proportional to 193,793.49, 290,435.09 and 103,825.80 is: 155,602.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,793.49 : 290,435.09 = 103,825.80 : x
  2. Step 2: Convert to fraction form
    193,793.49/290,435.09 = 103,825.80/x
  3. Step 3: Cross multiply
    193,793.49x = 290,435.09 × 103,825.80
  4. Step 4: Simplify right side
    193,793.49x = 30,154,655,048.19
  5. Step 5: Solve for x
    x = 30,154,655,048.19/193,793.49
  6. Step 6: Final answer
    x = 155,602.00

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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.