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Finding the Fourth Proportional to 208,243.80, 287,228.28 and 143,737.92

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Solution

The fourth proportional to 208,243.80, 287,228.28 and 143,737.92 is: 198,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,243.80 : 287,228.28 = 143,737.92 : x
  2. Step 2: Convert to fraction form
    208,243.80/287,228.28 = 143,737.92/x
  3. Step 3: Cross multiply
    208,243.80x = 287,228.28 × 143,737.92
  4. Step 4: Simplify right side
    208,243.80x = 41,285,595,532.38
  5. Step 5: Solve for x
    x = 41,285,595,532.38/208,243.80
  6. Step 6: Final answer
    x = 198,256.06

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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.