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Finding the Fourth Proportional to 291,259.84, 401,938.50 and 163,936.12

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Solution

The fourth proportional to 291,259.84, 401,938.50 and 163,936.12 is: 226,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,259.84 : 401,938.50 = 163,936.12 : x
  2. Step 2: Convert to fraction form
    291,259.84/401,938.50 = 163,936.12/x
  3. Step 3: Cross multiply
    291,259.84x = 401,938.50 × 163,936.12
  4. Step 4: Simplify right side
    291,259.84x = 65,892,238,168.62
  5. Step 5: Solve for x
    x = 65,892,238,168.62/291,259.84
  6. Step 6: Final answer
    x = 226,231.80

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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.