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Finding the Fourth Proportional to 265,441.65, 397,921.83 and 132,362.70

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Solution

The fourth proportional to 265,441.65, 397,921.83 and 132,362.70 is: 198,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,441.65 : 397,921.83 = 132,362.70 : x
  2. Step 2: Convert to fraction form
    265,441.65/397,921.83 = 132,362.70/x
  3. Step 3: Cross multiply
    265,441.65x = 397,921.83 × 132,362.70
  4. Step 4: Simplify right side
    265,441.65x = 52,670,007,807.74
  5. Step 5: Solve for x
    x = 52,670,007,807.74/265,441.65
  6. Step 6: Final answer
    x = 198,424.05

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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.