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Finding the Fourth Proportional to 267,105.47, 368,594.15 and 146,244.56

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Solution

The fourth proportional to 267,105.47, 368,594.15 and 146,244.56 is: 201,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,105.47 : 368,594.15 = 146,244.56 : x
  2. Step 2: Convert to fraction form
    267,105.47/368,594.15 = 146,244.56/x
  3. Step 3: Cross multiply
    267,105.47x = 368,594.15 × 146,244.56
  4. Step 4: Simplify right side
    267,105.47x = 53,904,886,711.13
  5. Step 5: Solve for x
    x = 53,904,886,711.13/267,105.47
  6. Step 6: Final answer
    x = 201,811.25

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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.