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Finding the Fourth Proportional to 202,737.90, 304,231.92 and 102,969.69

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Solution

The fourth proportional to 202,737.90, 304,231.92 and 102,969.69 is: 154,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,737.90 : 304,231.92 = 102,969.69 : x
  2. Step 2: Convert to fraction form
    202,737.90/304,231.92 = 102,969.69/x
  3. Step 3: Cross multiply
    202,737.90x = 304,231.92 × 102,969.69
  4. Step 4: Simplify right side
    202,737.90x = 31,326,665,975.66
  5. Step 5: Solve for x
    x = 31,326,665,975.66/202,737.90
  6. Step 6: Final answer
    x = 154,518.05

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Why These Related Problems?

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