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Finding the Fourth Proportional to 267,006.78, 368,463.78 and 146,145.24

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Solution

The fourth proportional to 267,006.78, 368,463.78 and 146,145.24 is: 201,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,006.78 : 368,463.78 = 146,145.24 : x
  2. Step 2: Convert to fraction form
    267,006.78/368,463.78 = 146,145.24/x
  3. Step 3: Cross multiply
    267,006.78x = 368,463.78 × 146,145.24
  4. Step 4: Simplify right side
    267,006.78x = 53,849,227,559.41
  5. Step 5: Solve for x
    x = 53,849,227,559.41/267,006.78
  6. Step 6: Final answer
    x = 201,677.38

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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.