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Finding the Fourth Proportional to 267,848.30, 401,759.46 and 99,401.46

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Solution

The fourth proportional to 267,848.30, 401,759.46 and 99,401.46 is: 149,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,848.30 : 401,759.46 = 99,401.46 : x
  2. Step 2: Convert to fraction form
    267,848.30/401,759.46 = 99,401.46/x
  3. Step 3: Cross multiply
    267,848.30x = 401,759.46 × 99,401.46
  4. Step 4: Simplify right side
    267,848.30x = 39,935,476,892.81
  5. Step 5: Solve for x
    x = 39,935,476,892.81/267,848.30
  6. Step 6: Final answer
    x = 149,097.37

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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.