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Finding the Fourth Proportional to 227,265.35, 340,823.83 and 75,421.64

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Solution

The fourth proportional to 227,265.35, 340,823.83 and 75,421.64 is: 113,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,265.35 : 340,823.83 = 75,421.64 : x
  2. Step 2: Convert to fraction form
    227,265.35/340,823.83 = 75,421.64/x
  3. Step 3: Cross multiply
    227,265.35x = 340,823.83 × 75,421.64
  4. Step 4: Simplify right side
    227,265.35x = 25,705,491,602.26
  5. Step 5: Solve for x
    x = 25,705,491,602.26/227,265.35
  6. Step 6: Final answer
    x = 113,107.84

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1.5x scale

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.