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Finding the Fourth Proportional to 114,253.57, 171,378.52 and 31,147.57

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Solution

The fourth proportional to 114,253.57, 171,378.52 and 31,147.57 is: 46,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,253.57 : 171,378.52 = 31,147.57 : x
  2. Step 2: Convert to fraction form
    114,253.57/171,378.52 = 31,147.57/x
  3. Step 3: Cross multiply
    114,253.57x = 171,378.52 × 31,147.57
  4. Step 4: Simplify right side
    114,253.57x = 5,338,023,941.88
  5. Step 5: Solve for x
    x = 5,338,023,941.88/114,253.57
  6. Step 6: Final answer
    x = 46,720.85

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1.5x scale

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.