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Finding the Fourth Proportional to 165,881.84, 248,822.40 and 41,222.84

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Solution

The fourth proportional to 165,881.84, 248,822.40 and 41,222.84 is: 61,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,881.84 : 248,822.40 = 41,222.84 : x
  2. Step 2: Convert to fraction form
    165,881.84/248,822.40 = 41,222.84/x
  3. Step 3: Cross multiply
    165,881.84x = 248,822.40 × 41,222.84
  4. Step 4: Simplify right side
    165,881.84x = 10,257,165,983.62
  5. Step 5: Solve for x
    x = 10,257,165,983.62/165,881.84
  6. Step 6: Final answer
    x = 61,834.17

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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.