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Finding the Fourth Proportional to 365,382.56, 548,074.54 and 140,848.74

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Solution

The fourth proportional to 365,382.56, 548,074.54 and 140,848.74 is: 211,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,382.56 : 548,074.54 = 140,848.74 : x
  2. Step 2: Convert to fraction form
    365,382.56/548,074.54 = 140,848.74/x
  3. Step 3: Cross multiply
    365,382.56x = 548,074.54 × 140,848.74
  4. Step 4: Simplify right side
    365,382.56x = 77,195,608,385.08
  5. Step 5: Solve for x
    x = 77,195,608,385.08/365,382.56
  6. Step 6: Final answer
    x = 211,273.38

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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.