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Finding the Fourth Proportional to 320,098.14, 441,723.52 and 176,855.12

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Solution

The fourth proportional to 320,098.14, 441,723.52 and 176,855.12 is: 244,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,098.14 : 441,723.52 = 176,855.12 : x
  2. Step 2: Convert to fraction form
    320,098.14/441,723.52 = 176,855.12/x
  3. Step 3: Cross multiply
    320,098.14x = 441,723.52 × 176,855.12
  4. Step 4: Simplify right side
    320,098.14x = 78,121,066,136.42
  5. Step 5: Solve for x
    x = 78,121,066,136.42/320,098.14
  6. Step 6: Final answer
    x = 244,053.48

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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.