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Finding the Fourth Proportional to 203,265.20, 304,897.80 and 92,457.20

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Solution

The fourth proportional to 203,265.20, 304,897.80 and 92,457.20 is: 138,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,265.20 : 304,897.80 = 92,457.20 : x
  2. Step 2: Convert to fraction form
    203,265.20/304,897.80 = 92,457.20/x
  3. Step 3: Cross multiply
    203,265.20x = 304,897.80 × 92,457.20
  4. Step 4: Simplify right side
    203,265.20x = 28,189,996,874.16
  5. Step 5: Solve for x
    x = 28,189,996,874.16/203,265.20
  6. Step 6: Final answer
    x = 138,685.80

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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.