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Finding the Fourth Proportional to 202,883.76, 279,957.24 and 112,217.04

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Solution

The fourth proportional to 202,883.76, 279,957.24 and 112,217.04 is: 154,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,883.76 : 279,957.24 = 112,217.04 : x
  2. Step 2: Convert to fraction form
    202,883.76/279,957.24 = 112,217.04/x
  3. Step 3: Cross multiply
    202,883.76x = 279,957.24 × 112,217.04
  4. Step 4: Simplify right side
    202,883.76x = 31,415,972,799.37
  5. Step 5: Solve for x
    x = 31,415,972,799.37/202,883.76
  6. Step 6: Final answer
    x = 154,847.15

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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.