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Finding the Fourth Proportional to 114,468.60, 171,314.10 and 100,471.80

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Solution

The fourth proportional to 114,468.60, 171,314.10 and 100,471.80 is: 150,366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,468.60 : 171,314.10 = 100,471.80 : x
  2. Step 2: Convert to fraction form
    114,468.60/171,314.10 = 100,471.80/x
  3. Step 3: Cross multiply
    114,468.60x = 171,314.10 × 100,471.80
  4. Step 4: Simplify right side
    114,468.60x = 17,212,235,992.38
  5. Step 5: Solve for x
    x = 17,212,235,992.38/114,468.60
  6. Step 6: Final answer
    x = 150,366.44

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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.