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Finding the Fourth Proportional to 202,086.66, 278,879.52 and 116,051.30

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Solution

The fourth proportional to 202,086.66, 278,879.52 and 116,051.30 is: 160,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,086.66 : 278,879.52 = 116,051.30 : x
  2. Step 2: Convert to fraction form
    202,086.66/278,879.52 = 116,051.30/x
  3. Step 3: Cross multiply
    202,086.66x = 278,879.52 × 116,051.30
  4. Step 4: Simplify right side
    202,086.66x = 32,364,329,444.98
  5. Step 5: Solve for x
    x = 32,364,329,444.98/202,086.66
  6. Step 6: Final answer
    x = 160,150.75

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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.