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Finding the Fourth Proportional to 96,578.40, 144,932.40 and 57,093.60

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Solution

The fourth proportional to 96,578.40, 144,932.40 and 57,093.60 is: 85,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,578.40 : 144,932.40 = 57,093.60 : x
  2. Step 2: Convert to fraction form
    96,578.40/144,932.40 = 57,093.60/x
  3. Step 3: Cross multiply
    96,578.40x = 144,932.40 × 57,093.60
  4. Step 4: Simplify right side
    96,578.40x = 8,274,712,472.64
  5. Step 5: Solve for x
    x = 8,274,712,472.64/96,578.40
  6. Step 6: Final answer
    x = 85,678.71

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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.