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Finding the Fourth Proportional to 301,206.40, 451,874.40 and 90,865.60

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Solution

The fourth proportional to 301,206.40, 451,874.40 and 90,865.60 is: 136,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,206.40 : 451,874.40 = 90,865.60 : x
  2. Step 2: Convert to fraction form
    301,206.40/451,874.40 = 90,865.60/x
  3. Step 3: Cross multiply
    301,206.40x = 451,874.40 × 90,865.60
  4. Step 4: Simplify right side
    301,206.40x = 41,059,838,480.64
  5. Step 5: Solve for x
    x = 41,059,838,480.64/301,206.40
  6. Step 6: Final answer
    x = 136,317.95

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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.