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Finding the Fourth Proportional to 202,865.22, 304,325.51 and 84,508.88

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Solution

The fourth proportional to 202,865.22, 304,325.51 and 84,508.88 is: 126,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,865.22 : 304,325.51 = 84,508.88 : x
  2. Step 2: Convert to fraction form
    202,865.22/304,325.51 = 84,508.88/x
  3. Step 3: Cross multiply
    202,865.22x = 304,325.51 × 84,508.88
  4. Step 4: Simplify right side
    202,865.22x = 25,718,208,005.53
  5. Step 5: Solve for x
    x = 25,718,208,005.53/202,865.22
  6. Step 6: Final answer
    x = 126,774.85

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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.