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Finding the Fourth Proportional to 224,561.25, 336,897.36 and 66,789.05

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Solution

The fourth proportional to 224,561.25, 336,897.36 and 66,789.05 is: 100,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,561.25 : 336,897.36 = 66,789.05 : x
  2. Step 2: Convert to fraction form
    224,561.25/336,897.36 = 66,789.05/x
  3. Step 3: Cross multiply
    224,561.25x = 336,897.36 × 66,789.05
  4. Step 4: Simplify right side
    224,561.25x = 22,501,052,937.42
  5. Step 5: Solve for x
    x = 22,501,052,937.42/224,561.25
  6. Step 6: Final answer
    x = 100,200.07

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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.