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Finding the Fourth Proportional to 193,877.80, 290,663.10 and 106,325.80

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Solution

The fourth proportional to 193,877.80, 290,663.10 and 106,325.80 is: 159,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,877.80 : 290,663.10 = 106,325.80 : x
  2. Step 2: Convert to fraction form
    193,877.80/290,663.10 = 106,325.80/x
  3. Step 3: Cross multiply
    193,877.80x = 290,663.10 × 106,325.80
  4. Step 4: Simplify right side
    193,877.80x = 30,904,986,637.98
  5. Step 5: Solve for x
    x = 30,904,986,637.98/193,877.80
  6. Step 6: Final answer
    x = 159,404.46

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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.