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Finding the Fourth Proportional to 188,175.06, 282,203.10 and 61,794.47

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Solution

The fourth proportional to 188,175.06, 282,203.10 and 61,794.47 is: 92,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,175.06 : 282,203.10 = 61,794.47 : x
  2. Step 2: Convert to fraction form
    188,175.06/282,203.10 = 61,794.47/x
  3. Step 3: Cross multiply
    188,175.06x = 282,203.10 × 61,794.47
  4. Step 4: Simplify right side
    188,175.06x = 17,438,590,996.86
  5. Step 5: Solve for x
    x = 17,438,590,996.86/188,175.06
  6. Step 6: Final answer
    x = 92,672.17

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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.