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Finding the Fourth Proportional to 96,415.12, 144,844.68 and 68,404.72

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Solution

The fourth proportional to 96,415.12, 144,844.68 and 68,404.72 is: 102,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,415.12 : 144,844.68 = 68,404.72 : x
  2. Step 2: Convert to fraction form
    96,415.12/144,844.68 = 68,404.72/x
  3. Step 3: Cross multiply
    96,415.12x = 144,844.68 × 68,404.72
  4. Step 4: Simplify right side
    96,415.12x = 9,908,059,778.89
  5. Step 5: Solve for x
    x = 9,908,059,778.89/96,415.12
  6. Step 6: Final answer
    x = 102,764.58

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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.