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Finding the Fourth Proportional to 99,656.76, 149,416.02 and 52,942.44

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Solution

The fourth proportional to 99,656.76, 149,416.02 and 52,942.44 is: 79,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,656.76 : 149,416.02 = 52,942.44 : x
  2. Step 2: Convert to fraction form
    99,656.76/149,416.02 = 52,942.44/x
  3. Step 3: Cross multiply
    99,656.76x = 149,416.02 × 52,942.44
  4. Step 4: Simplify right side
    99,656.76x = 7,910,448,673.89
  5. Step 5: Solve for x
    x = 7,910,448,673.89/99,656.76
  6. Step 6: Final answer
    x = 79,376.94

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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.