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Finding the Fourth Proportional to 96,107.46, 144,187.50 and 46,229.28

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Solution

The fourth proportional to 96,107.46, 144,187.50 and 46,229.28 is: 69,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,107.46 : 144,187.50 = 46,229.28 : x
  2. Step 2: Convert to fraction form
    96,107.46/144,187.50 = 46,229.28/x
  3. Step 3: Cross multiply
    96,107.46x = 144,187.50 × 46,229.28
  4. Step 4: Simplify right side
    96,107.46x = 6,665,684,310
  5. Step 5: Solve for x
    x = 6,665,684,310/96,107.46
  6. Step 6: Final answer
    x = 69,356.58

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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.