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Finding the Fourth Proportional to 202,917.24, 280,069.92 and 118,045.44

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Solution

The fourth proportional to 202,917.24, 280,069.92 and 118,045.44 is: 162,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,917.24 : 280,069.92 = 118,045.44 : x
  2. Step 2: Convert to fraction form
    202,917.24/280,069.92 = 118,045.44/x
  3. Step 3: Cross multiply
    202,917.24x = 280,069.92 × 118,045.44
  4. Step 4: Simplify right side
    202,917.24x = 33,060,976,937.16
  5. Step 5: Solve for x
    x = 33,060,976,937.16/202,917.24
  6. Step 6: Final answer
    x = 162,928.38

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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.