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Finding the Fourth Proportional to 194,156.20, 291,234.30 and 75,831.40

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Solution

The fourth proportional to 194,156.20, 291,234.30 and 75,831.40 is: 113,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,156.20 : 291,234.30 = 75,831.40 : x
  2. Step 2: Convert to fraction form
    194,156.20/291,234.30 = 75,831.40/x
  3. Step 3: Cross multiply
    194,156.20x = 291,234.30 × 75,831.40
  4. Step 4: Simplify right side
    194,156.20x = 22,084,704,697.02
  5. Step 5: Solve for x
    x = 22,084,704,697.02/194,156.20
  6. Step 6: Final answer
    x = 113,747.10

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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.