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Finding the Fourth Proportional to 202,738.92, 279,777.86 and 112,097.22

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Solution

The fourth proportional to 202,738.92, 279,777.86 and 112,097.22 is: 154,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,738.92 : 279,777.86 = 112,097.22 : x
  2. Step 2: Convert to fraction form
    202,738.92/279,777.86 = 112,097.22/x
  3. Step 3: Cross multiply
    202,738.92x = 279,777.86 × 112,097.22
  4. Step 4: Simplify right side
    202,738.92x = 31,362,318,364.17
  5. Step 5: Solve for x
    x = 31,362,318,364.17/202,738.92
  6. Step 6: Final answer
    x = 154,693.14

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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.