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Finding the Fourth Proportional to 227,175.84, 340,588.80 and 108,786.24

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Solution

The fourth proportional to 227,175.84, 340,588.80 and 108,786.24 is: 163,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,175.84 : 340,588.80 = 108,786.24 : x
  2. Step 2: Convert to fraction form
    227,175.84/340,588.80 = 108,786.24/x
  3. Step 3: Cross multiply
    227,175.84x = 340,588.80 × 108,786.24
  4. Step 4: Simplify right side
    227,175.84x = 37,051,374,938.11
  5. Step 5: Solve for x
    x = 37,051,374,938.11/227,175.84
  6. Step 6: Final answer
    x = 163,095.58

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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.