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Finding the Fourth Proportional to 224,907.58, 337,194.70 and 136,140.09

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Solution

The fourth proportional to 224,907.58, 337,194.70 and 136,140.09 is: 204,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,907.58 : 337,194.70 = 136,140.09 : x
  2. Step 2: Convert to fraction form
    224,907.58/337,194.70 = 136,140.09/x
  3. Step 3: Cross multiply
    224,907.58x = 337,194.70 × 136,140.09
  4. Step 4: Simplify right side
    224,907.58x = 45,905,716,805.52
  5. Step 5: Solve for x
    x = 45,905,716,805.52/224,907.58
  6. Step 6: Final answer
    x = 204,109.25

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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.