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Finding the Fourth Proportional to 194,084, 291,126.14 and 53,842.76

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Solution

The fourth proportional to 194,084, 291,126.14 and 53,842.76 is: 80,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,084 : 291,126.14 = 53,842.76 : x
  2. Step 2: Convert to fraction form
    194,084/291,126.14 = 53,842.76/x
  3. Step 3: Cross multiply
    194,084x = 291,126.14 × 53,842.76
  4. Step 4: Simplify right side
    194,084x = 15,675,034,616.53
  5. Step 5: Solve for x
    x = 15,675,034,616.53/194,084
  6. Step 6: Final answer
    x = 80,764.18

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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.