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Finding the Fourth Proportional to 202,360.94, 278,998.49 and 165,928.15

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Solution

The fourth proportional to 202,360.94, 278,998.49 and 165,928.15 is: 228,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,360.94 : 278,998.49 = 165,928.15 : x
  2. Step 2: Convert to fraction form
    202,360.94/278,998.49 = 165,928.15/x
  3. Step 3: Cross multiply
    202,360.94x = 278,998.49 × 165,928.15
  4. Step 4: Simplify right side
    202,360.94x = 46,293,703,298.49
  5. Step 5: Solve for x
    x = 46,293,703,298.49/202,360.94
  6. Step 6: Final answer
    x = 228,767.98

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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.