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Finding the Fourth Proportional to 105,305.69, 145,321.63 and 59,983.65

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Solution

The fourth proportional to 105,305.69, 145,321.63 and 59,983.65 is: 82,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,305.69 : 145,321.63 = 59,983.65 : x
  2. Step 2: Convert to fraction form
    105,305.69/145,321.63 = 59,983.65/x
  3. Step 3: Cross multiply
    105,305.69x = 145,321.63 × 59,983.65
  4. Step 4: Simplify right side
    105,305.69x = 8,716,921,791.35
  5. Step 5: Solve for x
    x = 8,716,921,791.35/105,305.69
  6. Step 6: Final answer
    x = 82,777.31

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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.