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Finding the Fourth Proportional to 202,805, 304,207.56 and 55,061

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Solution

The fourth proportional to 202,805, 304,207.56 and 55,061 is: 82,591.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,805 : 304,207.56 = 55,061 : x
  2. Step 2: Convert to fraction form
    202,805/304,207.56 = 55,061/x
  3. Step 3: Cross multiply
    202,805x = 304,207.56 × 55,061
  4. Step 4: Simplify right side
    202,805x = 16,749,972,461.16
  5. Step 5: Solve for x
    x = 16,749,972,461.16/202,805
  6. Step 6: Final answer
    x = 82,591.52

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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.