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Finding the Fourth Proportional to 267,335.82, 368,927.97 and 146,488.86

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Solution

The fourth proportional to 267,335.82, 368,927.97 and 146,488.86 is: 202,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,335.82 : 368,927.97 = 146,488.86 : x
  2. Step 2: Convert to fraction form
    267,335.82/368,927.97 = 146,488.86/x
  3. Step 3: Cross multiply
    267,335.82x = 368,927.97 × 146,488.86
  4. Step 4: Simplify right side
    267,335.82x = 54,043,837,747.41
  5. Step 5: Solve for x
    x = 54,043,837,747.41/267,335.82
  6. Step 6: Final answer
    x = 202,157.11

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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.