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Finding the Fourth Proportional to 194,546.34, 291,895.65 and 76,197.24

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Solution

The fourth proportional to 194,546.34, 291,895.65 and 76,197.24 is: 114,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,546.34 : 291,895.65 = 76,197.24 : x
  2. Step 2: Convert to fraction form
    194,546.34/291,895.65 = 76,197.24/x
  3. Step 3: Cross multiply
    194,546.34x = 291,895.65 × 76,197.24
  4. Step 4: Simplify right side
    194,546.34x = 22,241,642,898.01
  5. Step 5: Solve for x
    x = 22,241,642,898.01/194,546.34
  6. Step 6: Final answer
    x = 114,325.68

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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.