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Finding the Fourth Proportional to 267,354.81, 368,949.72 and 146,495.11

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Solution

The fourth proportional to 267,354.81, 368,949.72 and 146,495.11 is: 202,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,354.81 : 368,949.72 = 146,495.11 : x
  2. Step 2: Convert to fraction form
    267,354.81/368,949.72 = 146,495.11/x
  3. Step 3: Cross multiply
    267,354.81x = 368,949.72 × 146,495.11
  4. Step 4: Simplify right side
    267,354.81x = 54,049,329,815.87
  5. Step 5: Solve for x
    x = 54,049,329,815.87/267,354.81
  6. Step 6: Final answer
    x = 202,163.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.