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Finding the Fourth Proportional to 230,038.66, 345,092.82 and 72,252.28

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Solution

The fourth proportional to 230,038.66, 345,092.82 and 72,252.28 is: 108,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,038.66 : 345,092.82 = 72,252.28 : x
  2. Step 2: Convert to fraction form
    230,038.66/345,092.82 = 72,252.28/x
  3. Step 3: Cross multiply
    230,038.66x = 345,092.82 × 72,252.28
  4. Step 4: Simplify right side
    230,038.66x = 24,933,743,056.63
  5. Step 5: Solve for x
    x = 24,933,743,056.63/230,038.66
  6. Step 6: Final answer
    x = 108,389.36

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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.