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Finding the Fourth Proportional to 267,421.82, 401,262.47 and 117,642.64

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Solution

The fourth proportional to 267,421.82, 401,262.47 and 117,642.64 is: 176,521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,421.82 : 401,262.47 = 117,642.64 : x
  2. Step 2: Convert to fraction form
    267,421.82/401,262.47 = 117,642.64/x
  3. Step 3: Cross multiply
    267,421.82x = 401,262.47 × 117,642.64
  4. Step 4: Simplify right side
    267,421.82x = 47,205,577,034.43
  5. Step 5: Solve for x
    x = 47,205,577,034.43/267,421.82
  6. Step 6: Final answer
    x = 176,521.04

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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.