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Finding the Fourth Proportional to 152,162.25, 228,198.75 and 57,324

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Solution

The fourth proportional to 152,162.25, 228,198.75 and 57,324 is: 85,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,162.25 : 228,198.75 = 57,324 : x
  2. Step 2: Convert to fraction form
    152,162.25/228,198.75 = 57,324/x
  3. Step 3: Cross multiply
    152,162.25x = 228,198.75 × 57,324
  4. Step 4: Simplify right side
    152,162.25x = 13,081,265,145
  5. Step 5: Solve for x
    x = 13,081,265,145/152,162.25
  6. Step 6: Final answer
    x = 85,969.19

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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.