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Finding the Fourth Proportional to 194,471.76, 291,590.97 and 76,002

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Solution

The fourth proportional to 194,471.76, 291,590.97 and 76,002 is: 113,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,471.76 : 291,590.97 = 76,002 : x
  2. Step 2: Convert to fraction form
    194,471.76/291,590.97 = 76,002/x
  3. Step 3: Cross multiply
    194,471.76x = 291,590.97 × 76,002
  4. Step 4: Simplify right side
    194,471.76x = 22,161,496,901.94
  5. Step 5: Solve for x
    x = 22,161,496,901.94/194,471.76
  6. Step 6: Final answer
    x = 113,957.40

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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.