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Finding the Fourth Proportional to 258,385.72, 356,553.90 and 145,225.72

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Solution

The fourth proportional to 258,385.72, 356,553.90 and 145,225.72 is: 200,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,385.72 : 356,553.90 = 145,225.72 : x
  2. Step 2: Convert to fraction form
    258,385.72/356,553.90 = 145,225.72/x
  3. Step 3: Cross multiply
    258,385.72x = 356,553.90 × 145,225.72
  4. Step 4: Simplify right side
    258,385.72x = 51,780,796,846.31
  5. Step 5: Solve for x
    x = 51,780,796,846.31/258,385.72
  6. Step 6: Final answer
    x = 200,401.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.