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Finding the Fourth Proportional to 202,949.19, 304,420.62 and 69,830.61

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Solution

The fourth proportional to 202,949.19, 304,420.62 and 69,830.61 is: 104,744.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,949.19 : 304,420.62 = 69,830.61 : x
  2. Step 2: Convert to fraction form
    202,949.19/304,420.62 = 69,830.61/x
  3. Step 3: Cross multiply
    202,949.19x = 304,420.62 × 69,830.61
  4. Step 4: Simplify right side
    202,949.19x = 21,257,877,591.18
  5. Step 5: Solve for x
    x = 21,257,877,591.18/202,949.19
  6. Step 6: Final answer
    x = 104,744.83

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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.