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Finding the Fourth Proportional to 233,429.97, 350,175.48 and 83,686.98

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Solution

The fourth proportional to 233,429.97, 350,175.48 and 83,686.98 is: 125,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,429.97 : 350,175.48 = 83,686.98 : x
  2. Step 2: Convert to fraction form
    233,429.97/350,175.48 = 83,686.98/x
  3. Step 3: Cross multiply
    233,429.97x = 350,175.48 × 83,686.98
  4. Step 4: Simplify right side
    233,429.97x = 29,305,128,391.25
  5. Step 5: Solve for x
    x = 29,305,128,391.25/233,429.97
  6. Step 6: Final answer
    x = 125,541.41

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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.