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Finding the Fourth Proportional to 267,426.49, 369,051.44 and 146,565.17

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Solution

The fourth proportional to 267,426.49, 369,051.44 and 146,565.17 is: 202,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,426.49 : 369,051.44 = 146,565.17 : x
  2. Step 2: Convert to fraction form
    267,426.49/369,051.44 = 146,565.17/x
  3. Step 3: Cross multiply
    267,426.49x = 369,051.44 × 146,565.17
  4. Step 4: Simplify right side
    267,426.49x = 54,090,087,089.80
  5. Step 5: Solve for x
    x = 54,090,087,089.80/267,426.49
  6. Step 6: Final answer
    x = 202,261.52

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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.