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Finding the Fourth Proportional to 164,489.84, 226,996.08 and 92,870

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Solution

The fourth proportional to 164,489.84, 226,996.08 and 92,870 is: 128,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,489.84 : 226,996.08 = 92,870 : x
  2. Step 2: Convert to fraction form
    164,489.84/226,996.08 = 92,870/x
  3. Step 3: Cross multiply
    164,489.84x = 226,996.08 × 92,870
  4. Step 4: Simplify right side
    164,489.84x = 21,081,125,949.60
  5. Step 5: Solve for x
    x = 21,081,125,949.60/164,489.84
  6. Step 6: Final answer
    x = 128,160.66

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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.