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Finding the Fourth Proportional to 263,694.32, 363,872.09 and 147,386.01

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Solution

The fourth proportional to 263,694.32, 363,872.09 and 147,386.01 is: 203,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,694.32 : 363,872.09 = 147,386.01 : x
  2. Step 2: Convert to fraction form
    263,694.32/363,872.09 = 147,386.01/x
  3. Step 3: Cross multiply
    263,694.32x = 363,872.09 × 147,386.01
  4. Step 4: Simplify right side
    263,694.32x = 53,629,657,228.45
  5. Step 5: Solve for x
    x = 53,629,657,228.45/263,694.32
  6. Step 6: Final answer
    x = 203,378.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.