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Finding the Fourth Proportional to 105,154.92, 145,111.77 and 57,408.57

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Solution

The fourth proportional to 105,154.92, 145,111.77 and 57,408.57 is: 79,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,154.92 : 145,111.77 = 57,408.57 : x
  2. Step 2: Convert to fraction form
    105,154.92/145,111.77 = 57,408.57/x
  3. Step 3: Cross multiply
    105,154.92x = 145,111.77 × 57,408.57
  4. Step 4: Simplify right side
    105,154.92x = 8,330,659,205.87
  5. Step 5: Solve for x
    x = 8,330,659,205.87/105,154.92
  6. Step 6: Final answer
    x = 79,222.72

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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.