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Finding the Fourth Proportional to 442,178.84, 663,268.26 and 109,754.84

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Solution

The fourth proportional to 442,178.84, 663,268.26 and 109,754.84 is: 164,632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,178.84 : 663,268.26 = 109,754.84 : x
  2. Step 2: Convert to fraction form
    442,178.84/663,268.26 = 109,754.84/x
  3. Step 3: Cross multiply
    442,178.84x = 663,268.26 × 109,754.84
  4. Step 4: Simplify right side
    442,178.84x = 72,796,901,753.38
  5. Step 5: Solve for x
    x = 72,796,901,753.38/442,178.84
  6. Step 6: Final answer
    x = 164,632.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.