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Finding the Fourth Proportional to 230,764.68, 346,146.84 and 64,552.68

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Solution

The fourth proportional to 230,764.68, 346,146.84 and 64,552.68 is: 96,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,764.68 : 346,146.84 = 64,552.68 : x
  2. Step 2: Convert to fraction form
    230,764.68/346,146.84 = 64,552.68/x
  3. Step 3: Cross multiply
    230,764.68x = 346,146.84 × 64,552.68
  4. Step 4: Simplify right side
    230,764.68x = 22,344,706,195.53
  5. Step 5: Solve for x
    x = 22,344,706,195.53/230,764.68
  6. Step 6: Final answer
    x = 96,828.97

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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.