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Finding the Fourth Proportional to 200,056.34, 276,178.12 and 154,631.75

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Solution

The fourth proportional to 200,056.34, 276,178.12 and 154,631.75 is: 213,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,056.34 : 276,178.12 = 154,631.75 : x
  2. Step 2: Convert to fraction form
    200,056.34/276,178.12 = 154,631.75/x
  3. Step 3: Cross multiply
    200,056.34x = 276,178.12 × 154,631.75
  4. Step 4: Simplify right side
    200,056.34x = 42,705,904,239.84
  5. Step 5: Solve for x
    x = 42,705,904,239.84/200,056.34
  6. Step 6: Final answer
    x = 213,469.38

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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.