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Finding the Fourth Proportional to 202,966.56, 280,092.33 and 121,332.33

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Solution

The fourth proportional to 202,966.56, 280,092.33 and 121,332.33 is: 167,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,966.56 : 280,092.33 = 121,332.33 : x
  2. Step 2: Convert to fraction form
    202,966.56/280,092.33 = 121,332.33/x
  3. Step 3: Cross multiply
    202,966.56x = 280,092.33 × 121,332.33
  4. Step 4: Simplify right side
    202,966.56x = 33,984,255,014.03
  5. Step 5: Solve for x
    x = 33,984,255,014.03/202,966.56
  6. Step 6: Final answer
    x = 167,437.71

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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.