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Finding the Fourth Proportional to 146,012.93, 219,019.39 and 40,831.90

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Solution

The fourth proportional to 146,012.93, 219,019.39 and 40,831.90 is: 61,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,012.93 : 219,019.39 = 40,831.90 : x
  2. Step 2: Convert to fraction form
    146,012.93/219,019.39 = 40,831.90/x
  3. Step 3: Cross multiply
    146,012.93x = 219,019.39 × 40,831.90
  4. Step 4: Simplify right side
    146,012.93x = 8,942,977,410.59
  5. Step 5: Solve for x
    x = 8,942,977,410.59/146,012.93
  6. Step 6: Final answer
    x = 61,247.85

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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.