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Finding the Fourth Proportional to 217,156.02, 325,671.54 and 74,964.30

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Solution

The fourth proportional to 217,156.02, 325,671.54 and 74,964.30 is: 112,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,156.02 : 325,671.54 = 74,964.30 : x
  2. Step 2: Convert to fraction form
    217,156.02/325,671.54 = 74,964.30/x
  3. Step 3: Cross multiply
    217,156.02x = 325,671.54 × 74,964.30
  4. Step 4: Simplify right side
    217,156.02x = 24,413,739,026.02
  5. Step 5: Solve for x
    x = 24,413,739,026.02/217,156.02
  6. Step 6: Final answer
    x = 112,424.88

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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.