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Finding the Fourth Proportional to 199,871.48, 275,833.32 and 115,001.48

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Solution

The fourth proportional to 199,871.48, 275,833.32 and 115,001.48 is: 158,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,871.48 : 275,833.32 = 115,001.48 : x
  2. Step 2: Convert to fraction form
    199,871.48/275,833.32 = 115,001.48/x
  3. Step 3: Cross multiply
    199,871.48x = 275,833.32 × 115,001.48
  4. Step 4: Simplify right side
    199,871.48x = 31,721,240,033.31
  5. Step 5: Solve for x
    x = 31,721,240,033.31/199,871.48
  6. Step 6: Final answer
    x = 158,708.19

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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.