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Finding the Fourth Proportional to 267,657, 401,641.04 and 119,913

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Solution

The fourth proportional to 267,657, 401,641.04 and 119,913 is: 179,939.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,657 : 401,641.04 = 119,913 : x
  2. Step 2: Convert to fraction form
    267,657/401,641.04 = 119,913/x
  3. Step 3: Cross multiply
    267,657x = 401,641.04 × 119,913
  4. Step 4: Simplify right side
    267,657x = 48,161,982,029.52
  5. Step 5: Solve for x
    x = 48,161,982,029.52/267,657
  6. Step 6: Final answer
    x = 179,939.18

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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.