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Finding the Fourth Proportional to 202,965.30, 280,092.66 and 112,327.52

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Solution

The fourth proportional to 202,965.30, 280,092.66 and 112,327.52 is: 155,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,965.30 : 280,092.66 = 112,327.52 : x
  2. Step 2: Convert to fraction form
    202,965.30/280,092.66 = 112,327.52/x
  3. Step 3: Cross multiply
    202,965.30x = 280,092.66 × 112,327.52
  4. Step 4: Simplify right side
    202,965.30x = 31,462,113,868.00
  5. Step 5: Solve for x
    x = 31,462,113,868.00/202,965.30
  6. Step 6: Final answer
    x = 155,012.28

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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.