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Finding the Fourth Proportional to 267,193.56, 368,705.34 and 152,471.64

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Solution

The fourth proportional to 267,193.56, 368,705.34 and 152,471.64 is: 210,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,193.56 : 368,705.34 = 152,471.64 : x
  2. Step 2: Convert to fraction form
    267,193.56/368,705.34 = 152,471.64/x
  3. Step 3: Cross multiply
    267,193.56x = 368,705.34 × 152,471.64
  4. Step 4: Simplify right side
    267,193.56x = 56,217,107,866.56
  5. Step 5: Solve for x
    x = 56,217,107,866.56/267,193.56
  6. Step 6: Final answer
    x = 210,398.44

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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.