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Finding the Fourth Proportional to 146,358.87, 219,737.47 and 82,362.22

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Solution

The fourth proportional to 146,358.87, 219,737.47 and 82,362.22 is: 123,655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,358.87 : 219,737.47 = 82,362.22 : x
  2. Step 2: Convert to fraction form
    146,358.87/219,737.47 = 82,362.22/x
  3. Step 3: Cross multiply
    146,358.87x = 219,737.47 × 82,362.22
  4. Step 4: Simplify right side
    146,358.87x = 18,098,065,846.38
  5. Step 5: Solve for x
    x = 18,098,065,846.38/146,358.87
  6. Step 6: Final answer
    x = 123,655.41

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1.5x scale

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.