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Finding the Fourth Proportional to 267,404.70, 401,107.05 and 109,746.30

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Solution

The fourth proportional to 267,404.70, 401,107.05 and 109,746.30 is: 164,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,404.70 : 401,107.05 = 109,746.30 : x
  2. Step 2: Convert to fraction form
    267,404.70/401,107.05 = 109,746.30/x
  3. Step 3: Cross multiply
    267,404.70x = 401,107.05 × 109,746.30
  4. Step 4: Simplify right side
    267,404.70x = 44,020,014,641.42
  5. Step 5: Solve for x
    x = 44,020,014,641.42/267,404.70
  6. Step 6: Final answer
    x = 164,619.45

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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.