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Finding the Fourth Proportional to 230,229, 345,363.06 and 64,017

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Solution

The fourth proportional to 230,229, 345,363.06 and 64,017 is: 96,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,229 : 345,363.06 = 64,017 : x
  2. Step 2: Convert to fraction form
    230,229/345,363.06 = 64,017/x
  3. Step 3: Cross multiply
    230,229x = 345,363.06 × 64,017
  4. Step 4: Simplify right side
    230,229x = 22,109,107,012.02
  5. Step 5: Solve for x
    x = 22,109,107,012.02/230,229
  6. Step 6: Final answer
    x = 96,030.94

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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.