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Finding the Fourth Proportional to 105,137.88, 145,093.02 and 57,395.64

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Solution

The fourth proportional to 105,137.88, 145,093.02 and 57,395.64 is: 79,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,137.88 : 145,093.02 = 57,395.64 : x
  2. Step 2: Convert to fraction form
    105,137.88/145,093.02 = 57,395.64/x
  3. Step 3: Cross multiply
    105,137.88x = 145,093.02 × 57,395.64
  4. Step 4: Simplify right side
    105,137.88x = 8,327,706,742.43
  5. Step 5: Solve for x
    x = 8,327,706,742.43/105,137.88
  6. Step 6: Final answer
    x = 79,207.48

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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.