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Finding the Fourth Proportional to 233,203.96, 349,871.55 and 83,465.54

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Solution

The fourth proportional to 233,203.96, 349,871.55 and 83,465.54 is: 125,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,203.96 : 349,871.55 = 83,465.54 : x
  2. Step 2: Convert to fraction form
    233,203.96/349,871.55 = 83,465.54/x
  3. Step 3: Cross multiply
    233,203.96x = 349,871.55 × 83,465.54
  4. Step 4: Simplify right side
    233,203.96x = 29,202,215,893.37
  5. Step 5: Solve for x
    x = 29,202,215,893.37/233,203.96
  6. Step 6: Final answer
    x = 125,221.79

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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.