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Finding the Fourth Proportional to 202,978.38, 280,110.68 and 112,340.58

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Solution

The fourth proportional to 202,978.38, 280,110.68 and 112,340.58 is: 155,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,978.38 : 280,110.68 = 112,340.58 : x
  2. Step 2: Convert to fraction form
    202,978.38/280,110.68 = 112,340.58/x
  3. Step 3: Cross multiply
    202,978.38x = 280,110.68 × 112,340.58
  4. Step 4: Simplify right side
    202,978.38x = 31,467,796,255.39
  5. Step 5: Solve for x
    x = 31,467,796,255.39/202,978.38
  6. Step 6: Final answer
    x = 155,030.29

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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.