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Finding the Fourth Proportional to 114,651.60, 171,631.80 and 100,827.60

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Solution

The fourth proportional to 114,651.60, 171,631.80 and 100,827.60 is: 150,937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,651.60 : 171,631.80 = 100,827.60 : x
  2. Step 2: Convert to fraction form
    114,651.60/171,631.80 = 100,827.60/x
  3. Step 3: Cross multiply
    114,651.60x = 171,631.80 × 100,827.60
  4. Step 4: Simplify right side
    114,651.60x = 17,305,222,477.68
  5. Step 5: Solve for x
    x = 17,305,222,477.68/114,651.60
  6. Step 6: Final answer
    x = 150,937.47

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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.