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Finding the Fourth Proportional to 202,043.14, 278,800.50 and 117,151

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Solution

The fourth proportional to 202,043.14, 278,800.50 and 117,151 is: 161,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,043.14 : 278,800.50 = 117,151 : x
  2. Step 2: Convert to fraction form
    202,043.14/278,800.50 = 117,151/x
  3. Step 3: Cross multiply
    202,043.14x = 278,800.50 × 117,151
  4. Step 4: Simplify right side
    202,043.14x = 32,661,757,375.50
  5. Step 5: Solve for x
    x = 32,661,757,375.50/202,043.14
  6. Step 6: Final answer
    x = 161,657.34

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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.