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Finding the Fourth Proportional to 267,507.53, 401,392.64 and 107,577

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Solution

The fourth proportional to 267,507.53, 401,392.64 and 107,577 is: 161,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,507.53 : 401,392.64 = 107,577 : x
  2. Step 2: Convert to fraction form
    267,507.53/401,392.64 = 107,577/x
  3. Step 3: Cross multiply
    267,507.53x = 401,392.64 × 107,577
  4. Step 4: Simplify right side
    267,507.53x = 43,180,615,898.81
  5. Step 5: Solve for x
    x = 43,180,615,898.81/267,507.53
  6. Step 6: Final answer
    x = 161,418.32

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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.