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Finding the Fourth Proportional to 365,137.60, 547,623.60 and 165,326.08

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Solution

The fourth proportional to 365,137.60, 547,623.60 and 165,326.08 is: 247,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,137.60 : 547,623.60 = 165,326.08 : x
  2. Step 2: Convert to fraction form
    365,137.60/547,623.60 = 165,326.08/x
  3. Step 3: Cross multiply
    365,137.60x = 547,623.60 × 165,326.08
  4. Step 4: Simplify right side
    365,137.60x = 90,536,463,103.49
  5. Step 5: Solve for x
    x = 90,536,463,103.49/365,137.60
  6. Step 6: Final answer
    x = 247,951.63

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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.