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Finding the Fourth Proportional to 147,108.44, 202,999.38 and 83,456.48

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Solution

The fourth proportional to 147,108.44, 202,999.38 and 83,456.48 is: 115,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,108.44 : 202,999.38 = 83,456.48 : x
  2. Step 2: Convert to fraction form
    147,108.44/202,999.38 = 83,456.48/x
  3. Step 3: Cross multiply
    147,108.44x = 202,999.38 × 83,456.48
  4. Step 4: Simplify right side
    147,108.44x = 16,941,613,696.98
  5. Step 5: Solve for x
    x = 16,941,613,696.98/147,108.44
  6. Step 6: Final answer
    x = 115,164.12

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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.