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Finding the Fourth Proportional to 114,196.70, 171,282.74 and 29,965.34

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Solution

The fourth proportional to 114,196.70, 171,282.74 and 29,965.34 is: 44,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,196.70 : 171,282.74 = 29,965.34 : x
  2. Step 2: Convert to fraction form
    114,196.70/171,282.74 = 29,965.34/x
  3. Step 3: Cross multiply
    114,196.70x = 171,282.74 × 29,965.34
  4. Step 4: Simplify right side
    114,196.70x = 5,132,544,533.99
  5. Step 5: Solve for x
    x = 5,132,544,533.99/114,196.70
  6. Step 6: Final answer
    x = 44,944.77

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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.