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Finding the Fourth Proportional to 179,795.20, 269,728.80 and 53,435.20

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Solution

The fourth proportional to 179,795.20, 269,728.80 and 53,435.20 is: 80,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,795.20 : 269,728.80 = 53,435.20 : x
  2. Step 2: Convert to fraction form
    179,795.20/269,728.80 = 53,435.20/x
  3. Step 3: Cross multiply
    179,795.20x = 269,728.80 × 53,435.20
  4. Step 4: Simplify right side
    179,795.20x = 14,413,012,373.76
  5. Step 5: Solve for x
    x = 14,413,012,373.76/179,795.20
  6. Step 6: Final answer
    x = 80,163.50

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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.