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Finding the Fourth Proportional to 145,896.78, 218,813.67 and 46,064.73

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Solution

The fourth proportional to 145,896.78, 218,813.67 and 46,064.73 is: 69,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,896.78 : 218,813.67 = 46,064.73 : x
  2. Step 2: Convert to fraction form
    145,896.78/218,813.67 = 46,064.73/x
  3. Step 3: Cross multiply
    145,896.78x = 218,813.67 × 46,064.73
  4. Step 4: Simplify right side
    145,896.78x = 10,079,592,628.86
  5. Step 5: Solve for x
    x = 10,079,592,628.86/145,896.78
  6. Step 6: Final answer
    x = 69,087.15

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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.