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Finding the Fourth Proportional to 230,416.56, 345,627.24 and 64,204.56

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Solution

The fourth proportional to 230,416.56, 345,627.24 and 64,204.56 is: 96,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,416.56 : 345,627.24 = 64,204.56 : x
  2. Step 2: Convert to fraction form
    230,416.56/345,627.24 = 64,204.56/x
  3. Step 3: Cross multiply
    230,416.56x = 345,627.24 × 64,204.56
  4. Step 4: Simplify right side
    230,416.56x = 22,190,844,868.21
  5. Step 5: Solve for x
    x = 22,190,844,868.21/230,416.56
  6. Step 6: Final answer
    x = 96,307.51

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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.