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Finding the Fourth Proportional to 228,511.44, 315,175.88 and 147,876.76

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Solution

The fourth proportional to 228,511.44, 315,175.88 and 147,876.76 is: 203,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,511.44 : 315,175.88 = 147,876.76 : x
  2. Step 2: Convert to fraction form
    228,511.44/315,175.88 = 147,876.76/x
  3. Step 3: Cross multiply
    228,511.44x = 315,175.88 × 147,876.76
  4. Step 4: Simplify right side
    228,511.44x = 46,607,187,964.55
  5. Step 5: Solve for x
    x = 46,607,187,964.55/228,511.44
  6. Step 6: Final answer
    x = 203,959.98

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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.