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Finding the Fourth Proportional to 194,203.24, 291,234.36 and 67,808

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Solution

The fourth proportional to 194,203.24, 291,234.36 and 67,808 is: 101,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,203.24 : 291,234.36 = 67,808 : x
  2. Step 2: Convert to fraction form
    194,203.24/291,234.36 = 67,808/x
  3. Step 3: Cross multiply
    194,203.24x = 291,234.36 × 67,808
  4. Step 4: Simplify right side
    194,203.24x = 19,748,019,482.88
  5. Step 5: Solve for x
    x = 19,748,019,482.88/194,203.24
  6. Step 6: Final answer
    x = 101,687.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.