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Finding the Fourth Proportional to 267,426.82, 369,051.84 and 146,565.44

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Solution

The fourth proportional to 267,426.82, 369,051.84 and 146,565.44 is: 202,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,426.82 : 369,051.84 = 146,565.44 : x
  2. Step 2: Convert to fraction form
    267,426.82/369,051.84 = 146,565.44/x
  3. Step 3: Cross multiply
    267,426.82x = 369,051.84 × 146,565.44
  4. Step 4: Simplify right side
    267,426.82x = 54,090,245,312.41
  5. Step 5: Solve for x
    x = 54,090,245,312.41/267,426.82
  6. Step 6: Final answer
    x = 202,261.86

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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.