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Finding the Fourth Proportional to 202,885.20, 304,327.80 and 109,573.20

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Solution

The fourth proportional to 202,885.20, 304,327.80 and 109,573.20 is: 164,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,885.20 : 304,327.80 = 109,573.20 : x
  2. Step 2: Convert to fraction form
    202,885.20/304,327.80 = 109,573.20/x
  3. Step 3: Cross multiply
    202,885.20x = 304,327.80 × 109,573.20
  4. Step 4: Simplify right side
    202,885.20x = 33,346,170,894.96
  5. Step 5: Solve for x
    x = 33,346,170,894.96/202,885.20
  6. Step 6: Final answer
    x = 164,359.80

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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.