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Finding the Fourth Proportional to 365,100.40, 547,387.98 and 165,317.95

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Solution

The fourth proportional to 365,100.40, 547,387.98 and 165,317.95 is: 247,858.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,100.40 : 547,387.98 = 165,317.95 : x
  2. Step 2: Convert to fraction form
    365,100.40/547,387.98 = 165,317.95/x
  3. Step 3: Cross multiply
    365,100.40x = 547,387.98 × 165,317.95
  4. Step 4: Simplify right side
    365,100.40x = 90,493,058,708.24
  5. Step 5: Solve for x
    x = 90,493,058,708.24/365,100.40
  6. Step 6: Final answer
    x = 247,858.01

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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.