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Finding the Fourth Proportional to 272,194.40, 407,854.20 and 201,335.60

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Solution

The fourth proportional to 272,194.40, 407,854.20 and 201,335.60 is: 301,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,194.40 : 407,854.20 = 201,335.60 : x
  2. Step 2: Convert to fraction form
    272,194.40/407,854.20 = 201,335.60/x
  3. Step 3: Cross multiply
    272,194.40x = 407,854.20 × 201,335.60
  4. Step 4: Simplify right side
    272,194.40x = 82,115,570,069.52
  5. Step 5: Solve for x
    x = 82,115,570,069.52/272,194.40
  6. Step 6: Final answer
    x = 301,679.87

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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.