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Finding the Fourth Proportional to 146,887.86, 202,704.75 and 83,237.82

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Solution

The fourth proportional to 146,887.86, 202,704.75 and 83,237.82 is: 114,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,887.86 : 202,704.75 = 83,237.82 : x
  2. Step 2: Convert to fraction form
    146,887.86/202,704.75 = 83,237.82/x
  3. Step 3: Cross multiply
    146,887.86x = 202,704.75 × 83,237.82
  4. Step 4: Simplify right side
    146,887.86x = 16,872,701,493.65
  5. Step 5: Solve for x
    x = 16,872,701,493.65/146,887.86
  6. Step 6: Final answer
    x = 114,867.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.