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Finding the Fourth Proportional to 254,906.50, 351,627.49 and 152,904.82

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Solution

The fourth proportional to 254,906.50, 351,627.49 and 152,904.82 is: 210,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,906.50 : 351,627.49 = 152,904.82 : x
  2. Step 2: Convert to fraction form
    254,906.50/351,627.49 = 152,904.82/x
  3. Step 3: Cross multiply
    254,906.50x = 351,627.49 × 152,904.82
  4. Step 4: Simplify right side
    254,906.50x = 53,765,538,065.50
  5. Step 5: Solve for x
    x = 53,765,538,065.50/254,906.50
  6. Step 6: Final answer
    x = 210,922.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.