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Finding the Fourth Proportional to 152,171.28, 228,212.22 and 57,333

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Solution

The fourth proportional to 152,171.28, 228,212.22 and 57,333 is: 85,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,171.28 : 228,212.22 = 57,333 : x
  2. Step 2: Convert to fraction form
    152,171.28/228,212.22 = 57,333/x
  3. Step 3: Cross multiply
    152,171.28x = 228,212.22 × 57,333
  4. Step 4: Simplify right side
    152,171.28x = 13,084,091,209.26
  5. Step 5: Solve for x
    x = 13,084,091,209.26/152,171.28
  6. Step 6: Final answer
    x = 85,982.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.