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Finding the Fourth Proportional to 194,768.62, 291,384.28 and 147,519.86

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Solution

The fourth proportional to 194,768.62, 291,384.28 and 147,519.86 is: 220,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,768.62 : 291,384.28 = 147,519.86 : x
  2. Step 2: Convert to fraction form
    194,768.62/291,384.28 = 147,519.86/x
  3. Step 3: Cross multiply
    194,768.62x = 291,384.28 × 147,519.86
  4. Step 4: Simplify right side
    194,768.62x = 42,984,968,191.80
  5. Step 5: Solve for x
    x = 42,984,968,191.80/194,768.62
  6. Step 6: Final answer
    x = 220,697.61

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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.