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Finding the Fourth Proportional to 233,411.22, 350,147.51 and 83,668.55

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Solution

The fourth proportional to 233,411.22, 350,147.51 and 83,668.55 is: 125,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,411.22 : 350,147.51 = 83,668.55 : x
  2. Step 2: Convert to fraction form
    233,411.22/350,147.51 = 83,668.55/x
  3. Step 3: Cross multiply
    233,411.22x = 350,147.51 × 83,668.55
  4. Step 4: Simplify right side
    233,411.22x = 29,296,332,592.49
  5. Step 5: Solve for x
    x = 29,296,332,592.49/233,411.22
  6. Step 6: Final answer
    x = 125,513.81

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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.