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Finding the Fourth Proportional to 114,695.70, 172,099.90 and 51,560.42

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Solution

The fourth proportional to 114,695.70, 172,099.90 and 51,560.42 is: 77,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,695.70 : 172,099.90 = 51,560.42 : x
  2. Step 2: Convert to fraction form
    114,695.70/172,099.90 = 51,560.42/x
  3. Step 3: Cross multiply
    114,695.70x = 172,099.90 × 51,560.42
  4. Step 4: Simplify right side
    114,695.70x = 8,873,543,125.96
  5. Step 5: Solve for x
    x = 8,873,543,125.96/114,695.70
  6. Step 6: Final answer
    x = 77,365.96

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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.