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Finding the Fourth Proportional to 202,748.76, 279,768.87 and 112,092.48

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Solution

The fourth proportional to 202,748.76, 279,768.87 and 112,092.48 is: 154,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,748.76 : 279,768.87 = 112,092.48 : x
  2. Step 2: Convert to fraction form
    202,748.76/279,768.87 = 112,092.48/x
  3. Step 3: Cross multiply
    202,748.76x = 279,768.87 × 112,092.48
  4. Step 4: Simplify right side
    202,748.76x = 31,359,986,465.10
  5. Step 5: Solve for x
    x = 31,359,986,465.10/202,748.76
  6. Step 6: Final answer
    x = 154,674.12

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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.