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Finding the Fourth Proportional to 394,903.80, 592,182.90 and 158,167.80

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Solution

The fourth proportional to 394,903.80, 592,182.90 and 158,167.80 is: 237,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,903.80 : 592,182.90 = 158,167.80 : x
  2. Step 2: Convert to fraction form
    394,903.80/592,182.90 = 158,167.80/x
  3. Step 3: Cross multiply
    394,903.80x = 592,182.90 × 158,167.80
  4. Step 4: Simplify right side
    394,903.80x = 93,664,266,490.62
  5. Step 5: Solve for x
    x = 93,664,266,490.62/394,903.80
  6. Step 6: Final answer
    x = 237,182.49

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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.