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Finding the Fourth Proportional to 152,915.36, 211,023.18 and 85,847.36

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Solution

The fourth proportional to 152,915.36, 211,023.18 and 85,847.36 is: 118,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,915.36 : 211,023.18 = 85,847.36 : x
  2. Step 2: Convert to fraction form
    152,915.36/211,023.18 = 85,847.36/x
  3. Step 3: Cross multiply
    152,915.36x = 211,023.18 × 85,847.36
  4. Step 4: Simplify right side
    152,915.36x = 18,115,781,846.69
  5. Step 5: Solve for x
    x = 18,115,781,846.69/152,915.36
  6. Step 6: Final answer
    x = 118,469.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.