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Finding the Fourth Proportional to 105,107.22, 145,051.14 and 59,791.70

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Solution

The fourth proportional to 105,107.22, 145,051.14 and 59,791.70 is: 82,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,107.22 : 145,051.14 = 59,791.70 : x
  2. Step 2: Convert to fraction form
    105,107.22/145,051.14 = 59,791.70/x
  3. Step 3: Cross multiply
    105,107.22x = 145,051.14 × 59,791.70
  4. Step 4: Simplify right side
    105,107.22x = 8,672,854,247.54
  5. Step 5: Solve for x
    x = 8,672,854,247.54/105,107.22
  6. Step 6: Final answer
    x = 82,514.35

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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.