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Finding the Fourth Proportional to 96,099, 144,179.32 and 46,182.69

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Solution

The fourth proportional to 96,099, 144,179.32 and 46,182.69 is: 69,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,099 : 144,179.32 = 46,182.69 : x
  2. Step 2: Convert to fraction form
    96,099/144,179.32 = 46,182.69/x
  3. Step 3: Cross multiply
    96,099x = 144,179.32 × 46,182.69
  4. Step 4: Simplify right side
    96,099x = 6,658,588,839.97
  5. Step 5: Solve for x
    x = 6,658,588,839.97/96,099
  6. Step 6: Final answer
    x = 69,288.85

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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.