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Finding the Fourth Proportional to 105,169.74, 145,132.35 and 57,422.22

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Solution

The fourth proportional to 105,169.74, 145,132.35 and 57,422.22 is: 79,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,169.74 : 145,132.35 = 57,422.22 : x
  2. Step 2: Convert to fraction form
    105,169.74/145,132.35 = 57,422.22/x
  3. Step 3: Cross multiply
    105,169.74x = 145,132.35 × 57,422.22
  4. Step 4: Simplify right side
    105,169.74x = 8,333,821,730.82
  5. Step 5: Solve for x
    x = 8,333,821,730.82/105,169.74
  6. Step 6: Final answer
    x = 79,241.63

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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.