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Finding the Fourth Proportional to 230,541, 345,811.50 and 64,329

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Solution

The fourth proportional to 230,541, 345,811.50 and 64,329 is: 96,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,541 : 345,811.50 = 64,329 : x
  2. Step 2: Convert to fraction form
    230,541/345,811.50 = 64,329/x
  3. Step 3: Cross multiply
    230,541x = 345,811.50 × 64,329
  4. Step 4: Simplify right side
    230,541x = 22,245,707,983.50
  5. Step 5: Solve for x
    x = 22,245,707,983.50/230,541
  6. Step 6: Final answer
    x = 96,493.50

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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.