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Finding the Fourth Proportional to 117,064.14, 161,531.13 and 71,099.86

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Solution

The fourth proportional to 117,064.14, 161,531.13 and 71,099.86 is: 98,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,064.14 : 161,531.13 = 71,099.86 : x
  2. Step 2: Convert to fraction form
    117,064.14/161,531.13 = 71,099.86/x
  3. Step 3: Cross multiply
    117,064.14x = 161,531.13 × 71,099.86
  4. Step 4: Simplify right side
    117,064.14x = 11,484,840,348.98
  5. Step 5: Solve for x
    x = 11,484,840,348.98/117,064.14
  6. Step 6: Final answer
    x = 98,107.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.