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Finding the Fourth Proportional to 230,014, 345,021 and 63,802

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Solution

The fourth proportional to 230,014, 345,021 and 63,802 is: 95,703

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,014 : 345,021 = 63,802 : x
  2. Step 2: Convert to fraction form
    230,014/345,021 = 63,802/x
  3. Step 3: Cross multiply
    230,014x = 345,021 × 63,802
  4. Step 4: Simplify right side
    230,014x = 22,013,029,842
  5. Step 5: Solve for x
    x = 22,013,029,842/230,014
  6. Step 6: Final answer
    x = 95,703

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.