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Finding the Fourth Proportional to 233,567.82, 350,397.90 and 83,768.04

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Solution

The fourth proportional to 233,567.82, 350,397.90 and 83,768.04 is: 125,668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,567.82 : 350,397.90 = 83,768.04 : x
  2. Step 2: Convert to fraction form
    233,567.82/350,397.90 = 83,768.04/x
  3. Step 3: Cross multiply
    233,567.82x = 350,397.90 × 83,768.04
  4. Step 4: Simplify right side
    233,567.82x = 29,352,145,303.12
  5. Step 5: Solve for x
    x = 29,352,145,303.12/233,567.82
  6. Step 6: Final answer
    x = 125,668.62

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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.