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Finding the Fourth Proportional to 112,186.98, 168,243.93 and 37,287

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Solution

The fourth proportional to 112,186.98, 168,243.93 and 37,287 is: 55,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,186.98 : 168,243.93 = 37,287 : x
  2. Step 2: Convert to fraction form
    112,186.98/168,243.93 = 37,287/x
  3. Step 3: Cross multiply
    112,186.98x = 168,243.93 × 37,287
  4. Step 4: Simplify right side
    112,186.98x = 6,273,311,417.91
  5. Step 5: Solve for x
    x = 6,273,311,417.91/112,186.98
  6. Step 6: Final answer
    x = 55,918.36

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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.