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Finding the Fourth Proportional to 267,785.22, 401,658.31 and 109,970.82

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Solution

The fourth proportional to 267,785.22, 401,658.31 and 109,970.82 is: 164,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,785.22 : 401,658.31 = 109,970.82 : x
  2. Step 2: Convert to fraction form
    267,785.22/401,658.31 = 109,970.82/x
  3. Step 3: Cross multiply
    267,785.22x = 401,658.31 × 109,970.82
  4. Step 4: Simplify right side
    267,785.22x = 44,170,693,710.51
  5. Step 5: Solve for x
    x = 44,170,693,710.51/267,785.22
  6. Step 6: Final answer
    x = 164,948.21

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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.