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Finding the Fourth Proportional to 267,138.36, 368,647.47 and 152,414.01

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Solution

The fourth proportional to 267,138.36, 368,647.47 and 152,414.01 is: 210,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,138.36 : 368,647.47 = 152,414.01 : x
  2. Step 2: Convert to fraction form
    267,138.36/368,647.47 = 152,414.01/x
  3. Step 3: Cross multiply
    267,138.36x = 368,647.47 × 152,414.01
  4. Step 4: Simplify right side
    267,138.36x = 56,187,039,179.05
  5. Step 5: Solve for x
    x = 56,187,039,179.05/267,138.36
  6. Step 6: Final answer
    x = 210,329.36

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1.5x scale

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.