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Finding the Fourth Proportional to 231,727.30, 347,266.95 and 184,423.30

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Solution

The fourth proportional to 231,727.30, 347,266.95 and 184,423.30 is: 276,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,727.30 : 347,266.95 = 184,423.30 : x
  2. Step 2: Convert to fraction form
    231,727.30/347,266.95 = 184,423.30/x
  3. Step 3: Cross multiply
    231,727.30x = 347,266.95 × 184,423.30
  4. Step 4: Simplify right side
    231,727.30x = 64,044,116,899.94
  5. Step 5: Solve for x
    x = 64,044,116,899.94/231,727.30
  6. Step 6: Final answer
    x = 276,377.09

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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.