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Finding the Fourth Proportional to 267,784.22, 401,656.81 and 109,969.82

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Solution

The fourth proportional to 267,784.22, 401,656.81 and 109,969.82 is: 164,946.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,784.22 : 401,656.81 = 109,969.82 : x
  2. Step 2: Convert to fraction form
    267,784.22/401,656.81 = 109,969.82/x
  3. Step 3: Cross multiply
    267,784.22x = 401,656.81 × 109,969.82
  4. Step 4: Simplify right side
    267,784.22x = 44,170,127,097.47
  5. Step 5: Solve for x
    x = 44,170,127,097.47/267,784.22
  6. Step 6: Final answer
    x = 164,946.71

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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.