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Finding the Fourth Proportional to 164,796.92, 246,939.68 and 114,294.45

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Solution

The fourth proportional to 164,796.92, 246,939.68 and 114,294.45 is: 171,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,796.92 : 246,939.68 = 114,294.45 : x
  2. Step 2: Convert to fraction form
    164,796.92/246,939.68 = 114,294.45/x
  3. Step 3: Cross multiply
    164,796.92x = 246,939.68 × 114,294.45
  4. Step 4: Simplify right side
    164,796.92x = 28,223,834,337.30
  5. Step 5: Solve for x
    x = 28,223,834,337.30/164,796.92
  6. Step 6: Final answer
    x = 171,264.34

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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.