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Finding the Fourth Proportional to 202,705.54, 279,731.82 and 112,063.81

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Solution

The fourth proportional to 202,705.54, 279,731.82 and 112,063.81 is: 154,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,705.54 : 279,731.82 = 112,063.81 : x
  2. Step 2: Convert to fraction form
    202,705.54/279,731.82 = 112,063.81/x
  3. Step 3: Cross multiply
    202,705.54x = 279,731.82 × 112,063.81
  4. Step 4: Simplify right side
    202,705.54x = 31,347,813,527.43
  5. Step 5: Solve for x
    x = 31,347,813,527.43/202,705.54
  6. Step 6: Final answer
    x = 154,647.05

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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.