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Finding the Fourth Proportional to 202,793.29, 304,025.87 and 123,880.86

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Solution

The fourth proportional to 202,793.29, 304,025.87 and 123,880.86 is: 185,721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,793.29 : 304,025.87 = 123,880.86 : x
  2. Step 2: Convert to fraction form
    202,793.29/304,025.87 = 123,880.86/x
  3. Step 3: Cross multiply
    202,793.29x = 304,025.87 × 123,880.86
  4. Step 4: Simplify right side
    202,793.29x = 37,662,986,547.55
  5. Step 5: Solve for x
    x = 37,662,986,547.55/202,793.29
  6. Step 6: Final answer
    x = 185,721.07

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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.