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Finding the Fourth Proportional to 267,967.64, 401,335.32 and 149,376.36

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Solution

The fourth proportional to 267,967.64, 401,335.32 and 149,376.36 is: 223,721.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,967.64 : 401,335.32 = 149,376.36 : x
  2. Step 2: Convert to fraction form
    267,967.64/401,335.32 = 149,376.36/x
  3. Step 3: Cross multiply
    267,967.64x = 401,335.32 × 149,376.36
  4. Step 4: Simplify right side
    267,967.64x = 59,950,009,241.04
  5. Step 5: Solve for x
    x = 59,950,009,241.04/267,967.64
  6. Step 6: Final answer
    x = 223,721.08

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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.