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Finding the Fourth Proportional to 202,722.64, 304,235.43 and 76,487.38

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Solution

The fourth proportional to 202,722.64, 304,235.43 and 76,487.38 is: 114,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,722.64 : 304,235.43 = 76,487.38 : x
  2. Step 2: Convert to fraction form
    202,722.64/304,235.43 = 76,487.38/x
  3. Step 3: Cross multiply
    202,722.64x = 304,235.43 × 76,487.38
  4. Step 4: Simplify right side
    202,722.64x = 23,270,169,896.46
  5. Step 5: Solve for x
    x = 23,270,169,896.46/202,722.64
  6. Step 6: Final answer
    x = 114,788.22

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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.