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Finding the Fourth Proportional to 160,464.76, 240,736.02 and 48,144.76

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Solution

The fourth proportional to 160,464.76, 240,736.02 and 48,144.76 is: 72,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,464.76 : 240,736.02 = 48,144.76 : x
  2. Step 2: Convert to fraction form
    160,464.76/240,736.02 = 48,144.76/x
  3. Step 3: Cross multiply
    160,464.76x = 240,736.02 × 48,144.76
  4. Step 4: Simplify right side
    160,464.76x = 11,590,177,906.26
  5. Step 5: Solve for x
    x = 11,590,177,906.26/160,464.76
  6. Step 6: Final answer
    x = 72,228.81

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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.