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Finding the Fourth Proportional to 365,827.82, 548,751.42 and 99,593.78

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Solution

The fourth proportional to 365,827.82, 548,751.42 and 99,593.78 is: 149,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,827.82 : 548,751.42 = 99,593.78 : x
  2. Step 2: Convert to fraction form
    365,827.82/548,751.42 = 99,593.78/x
  3. Step 3: Cross multiply
    365,827.82x = 548,751.42 × 99,593.78
  4. Step 4: Simplify right side
    365,827.82x = 54,652,225,454.41
  5. Step 5: Solve for x
    x = 54,652,225,454.41/365,827.82
  6. Step 6: Final answer
    x = 149,393.30

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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.