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Finding the Fourth Proportional to 267,521.82, 401,278.65 and 65,119.42

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Solution

The fourth proportional to 267,521.82, 401,278.65 and 65,119.42 is: 97,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,521.82 : 401,278.65 = 65,119.42 : x
  2. Step 2: Convert to fraction form
    267,521.82/401,278.65 = 65,119.42/x
  3. Step 3: Cross multiply
    267,521.82x = 401,278.65 × 65,119.42
  4. Step 4: Simplify right side
    267,521.82x = 26,131,032,946.38
  5. Step 5: Solve for x
    x = 26,131,032,946.38/267,521.82
  6. Step 6: Final answer
    x = 97,678.14

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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.