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Finding the Fourth Proportional to 163,006.44, 224,949.30 and 90,414.48

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Solution

The fourth proportional to 163,006.44, 224,949.30 and 90,414.48 is: 124,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,006.44 : 224,949.30 = 90,414.48 : x
  2. Step 2: Convert to fraction form
    163,006.44/224,949.30 = 90,414.48/x
  3. Step 3: Cross multiply
    163,006.44x = 224,949.30 × 90,414.48
  4. Step 4: Simplify right side
    163,006.44x = 20,338,673,985.86
  5. Step 5: Solve for x
    x = 20,338,673,985.86/163,006.44
  6. Step 6: Final answer
    x = 124,772.21

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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.