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Finding the Fourth Proportional to 202,659.92, 304,009.32 and 52,902.80

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Solution

The fourth proportional to 202,659.92, 304,009.32 and 52,902.80 is: 79,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,659.92 : 304,009.32 = 52,902.80 : x
  2. Step 2: Convert to fraction form
    202,659.92/304,009.32 = 52,902.80/x
  3. Step 3: Cross multiply
    202,659.92x = 304,009.32 × 52,902.80
  4. Step 4: Simplify right side
    202,659.92x = 16,082,944,254.10
  5. Step 5: Solve for x
    x = 16,082,944,254.10/202,659.92
  6. Step 6: Final answer
    x = 79,359.27

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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.