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Finding the Fourth Proportional to 365,701.78, 548,355.43 and 165,913.16

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Solution

The fourth proportional to 365,701.78, 548,355.43 and 165,913.16 is: 248,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,701.78 : 548,355.43 = 165,913.16 : x
  2. Step 2: Convert to fraction form
    365,701.78/548,355.43 = 165,913.16/x
  3. Step 3: Cross multiply
    365,701.78x = 548,355.43 × 165,913.16
  4. Step 4: Simplify right side
    365,701.78x = 90,979,379,037.90
  5. Step 5: Solve for x
    x = 90,979,379,037.90/365,701.78
  6. Step 6: Final answer
    x = 248,780.25

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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.