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Finding the Fourth Proportional to 114,361.66, 171,542.50 and 31,255.66

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Solution

The fourth proportional to 114,361.66, 171,542.50 and 31,255.66 is: 46,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,361.66 : 171,542.50 = 31,255.66 : x
  2. Step 2: Convert to fraction form
    114,361.66/171,542.50 = 31,255.66/x
  3. Step 3: Cross multiply
    114,361.66x = 171,542.50 × 31,255.66
  4. Step 4: Simplify right side
    114,361.66x = 5,361,674,055.55
  5. Step 5: Solve for x
    x = 5,361,674,055.55/114,361.66
  6. Step 6: Final answer
    x = 46,883.49

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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.