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Finding the Fourth Proportional to 109,902.92, 151,664.24 and 62,154.48

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Solution

The fourth proportional to 109,902.92, 151,664.24 and 62,154.48 is: 85,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,902.92 : 151,664.24 = 62,154.48 : x
  2. Step 2: Convert to fraction form
    109,902.92/151,664.24 = 62,154.48/x
  3. Step 3: Cross multiply
    109,902.92x = 151,664.24 × 62,154.48
  4. Step 4: Simplify right side
    109,902.92x = 9,426,611,971.80
  5. Step 5: Solve for x
    x = 9,426,611,971.80/109,902.92
  6. Step 6: Final answer
    x = 85,772.17

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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.