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Finding the Fourth Proportional to 105,022.10, 145,051.49 and 76,469.47

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Solution

The fourth proportional to 105,022.10, 145,051.49 and 76,469.47 is: 105,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,022.10 : 145,051.49 = 76,469.47 : x
  2. Step 2: Convert to fraction form
    105,022.10/145,051.49 = 76,469.47/x
  3. Step 3: Cross multiply
    105,022.10x = 145,051.49 × 76,469.47
  4. Step 4: Simplify right side
    105,022.10x = 11,092,010,391.56
  5. Step 5: Solve for x
    x = 11,092,010,391.56/105,022.10
  6. Step 6: Final answer
    x = 105,615.96

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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.