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Finding the Fourth Proportional to 216,223.88, 324,203.34 and 75,998.60

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Solution

The fourth proportional to 216,223.88, 324,203.34 and 75,998.60 is: 113,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,223.88 : 324,203.34 = 75,998.60 : x
  2. Step 2: Convert to fraction form
    216,223.88/324,203.34 = 75,998.60/x
  3. Step 3: Cross multiply
    216,223.88x = 324,203.34 × 75,998.60
  4. Step 4: Simplify right side
    216,223.88x = 24,638,999,955.32
  5. Step 5: Solve for x
    x = 24,638,999,955.32/216,223.88
  6. Step 6: Final answer
    x = 113,951.34

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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.