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Finding the Fourth Proportional to 150,938.92, 208,297.60 and 82,963.32

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Solution

The fourth proportional to 150,938.92, 208,297.60 and 82,963.32 is: 114,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,938.92 : 208,297.60 = 82,963.32 : x
  2. Step 2: Convert to fraction form
    150,938.92/208,297.60 = 82,963.32/x
  3. Step 3: Cross multiply
    150,938.92x = 208,297.60 × 82,963.32
  4. Step 4: Simplify right side
    150,938.92x = 17,281,060,444.03
  5. Step 5: Solve for x
    x = 17,281,060,444.03/150,938.92
  6. Step 6: Final answer
    x = 114,490.42

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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.