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Finding the Fourth Proportional to 267,345.31, 401,068.54 and 107,433.69

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Solution

The fourth proportional to 267,345.31, 401,068.54 and 107,433.69 is: 161,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,345.31 : 401,068.54 = 107,433.69 : x
  2. Step 2: Convert to fraction form
    267,345.31/401,068.54 = 107,433.69/x
  3. Step 3: Cross multiply
    267,345.31x = 401,068.54 × 107,433.69
  4. Step 4: Simplify right side
    267,345.31x = 43,088,273,195.11
  5. Step 5: Solve for x
    x = 43,088,273,195.11/267,345.31
  6. Step 6: Final answer
    x = 161,170.86

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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.