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Finding the Fourth Proportional to 267,564.24, 401,412.78 and 107,650.80

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Solution

The fourth proportional to 267,564.24, 401,412.78 and 107,650.80 is: 161,502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,564.24 : 401,412.78 = 107,650.80 : x
  2. Step 2: Convert to fraction form
    267,564.24/401,412.78 = 107,650.80/x
  3. Step 3: Cross multiply
    267,564.24x = 401,412.78 × 107,650.80
  4. Step 4: Simplify right side
    267,564.24x = 43,212,406,897.22
  5. Step 5: Solve for x
    x = 43,212,406,897.22/267,564.24
  6. Step 6: Final answer
    x = 161,502.92

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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.