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Finding the Fourth Proportional to 202,574.20, 304,013.04 and 76,338.96

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Solution

The fourth proportional to 202,574.20, 304,013.04 and 76,338.96 is: 114,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,574.20 : 304,013.04 = 76,338.96 : x
  2. Step 2: Convert to fraction form
    202,574.20/304,013.04 = 76,338.96/x
  3. Step 3: Cross multiply
    202,574.20x = 304,013.04 × 76,338.96
  4. Step 4: Simplify right side
    202,574.20x = 23,208,039,300.04
  5. Step 5: Solve for x
    x = 23,208,039,300.04/202,574.20
  6. Step 6: Final answer
    x = 114,565.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.