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Finding the Fourth Proportional to 309,048.12, 426,471.66 and 189,793.08

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Solution

The fourth proportional to 309,048.12, 426,471.66 and 189,793.08 is: 261,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,048.12 : 426,471.66 = 189,793.08 : x
  2. Step 2: Convert to fraction form
    309,048.12/426,471.66 = 189,793.08/x
  3. Step 3: Cross multiply
    309,048.12x = 426,471.66 × 189,793.08
  4. Step 4: Simplify right side
    309,048.12x = 80,941,369,884.11
  5. Step 5: Solve for x
    x = 80,941,369,884.11/309,048.12
  6. Step 6: Final answer
    x = 261,905.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.