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Finding the Fourth Proportional to 286,167.22, 429,258.96 and 75,805.18

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Solution

The fourth proportional to 286,167.22, 429,258.96 and 75,805.18 is: 113,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,167.22 : 429,258.96 = 75,805.18 : x
  2. Step 2: Convert to fraction form
    286,167.22/429,258.96 = 75,805.18/x
  3. Step 3: Cross multiply
    286,167.22x = 429,258.96 × 75,805.18
  4. Step 4: Simplify right side
    286,167.22x = 32,540,052,729.41
  5. Step 5: Solve for x
    x = 32,540,052,729.41/286,167.22
  6. Step 6: Final answer
    x = 113,709.92

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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.