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Finding the Fourth Proportional to 76,997.44, 114,823.88 and 68,502.16

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Solution

The fourth proportional to 76,997.44, 114,823.88 and 68,502.16 is: 102,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,997.44 : 114,823.88 = 68,502.16 : x
  2. Step 2: Convert to fraction form
    76,997.44/114,823.88 = 68,502.16/x
  3. Step 3: Cross multiply
    76,997.44x = 114,823.88 × 68,502.16
  4. Step 4: Simplify right side
    76,997.44x = 7,865,683,799.58
  5. Step 5: Solve for x
    x = 7,865,683,799.58/76,997.44
  6. Step 6: Final answer
    x = 102,155.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.