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Finding the Fourth Proportional to 194,424.94, 268,381.65 and 151,997.14

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Solution

The fourth proportional to 194,424.94, 268,381.65 and 151,997.14 is: 209,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,424.94 : 268,381.65 = 151,997.14 : x
  2. Step 2: Convert to fraction form
    194,424.94/268,381.65 = 151,997.14/x
  3. Step 3: Cross multiply
    194,424.94x = 268,381.65 × 151,997.14
  4. Step 4: Simplify right side
    194,424.94x = 40,793,243,228.48
  5. Step 5: Solve for x
    x = 40,793,243,228.48/194,424.94
  6. Step 6: Final answer
    x = 209,814.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.