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Finding the Fourth Proportional to 230,253, 345,398.94 and 64,041

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Solution

The fourth proportional to 230,253, 345,398.94 and 64,041 is: 96,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,253 : 345,398.94 = 64,041 : x
  2. Step 2: Convert to fraction form
    230,253/345,398.94 = 64,041/x
  3. Step 3: Cross multiply
    230,253x = 345,398.94 × 64,041
  4. Step 4: Simplify right side
    230,253x = 22,119,693,516.54
  5. Step 5: Solve for x
    x = 22,119,693,516.54/230,253
  6. Step 6: Final answer
    x = 96,066.91

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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.