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Finding the Fourth Proportional to 202,976.58, 280,039.40 and 118,023.78

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Solution

The fourth proportional to 202,976.58, 280,039.40 and 118,023.78 is: 162,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,976.58 : 280,039.40 = 118,023.78 : x
  2. Step 2: Convert to fraction form
    202,976.58/280,039.40 = 118,023.78/x
  3. Step 3: Cross multiply
    202,976.58x = 280,039.40 × 118,023.78
  4. Step 4: Simplify right side
    202,976.58x = 33,051,308,536.93
  5. Step 5: Solve for x
    x = 33,051,308,536.93/202,976.58
  6. Step 6: Final answer
    x = 162,833.11

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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.