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Finding the Fourth Proportional to 310,887.64, 466,282.05 and 111,170.80

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Solution

The fourth proportional to 310,887.64, 466,282.05 and 111,170.80 is: 166,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,887.64 : 466,282.05 = 111,170.80 : x
  2. Step 2: Convert to fraction form
    310,887.64/466,282.05 = 111,170.80/x
  3. Step 3: Cross multiply
    310,887.64x = 466,282.05 × 111,170.80
  4. Step 4: Simplify right side
    310,887.64x = 51,836,948,524.14
  5. Step 5: Solve for x
    x = 51,836,948,524.14/310,887.64
  6. Step 6: Final answer
    x = 166,738.53

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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.