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Finding the Fourth Proportional to 105,542.37, 145,648.53 and 57,144.72

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Solution

The fourth proportional to 105,542.37, 145,648.53 and 57,144.72 is: 78,859.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,542.37 : 145,648.53 = 57,144.72 : x
  2. Step 2: Convert to fraction form
    105,542.37/145,648.53 = 57,144.72/x
  3. Step 3: Cross multiply
    105,542.37x = 145,648.53 × 57,144.72
  4. Step 4: Simplify right side
    105,542.37x = 8,323,043,782.53
  5. Step 5: Solve for x
    x = 8,323,043,782.53/105,542.37
  6. Step 6: Final answer
    x = 78,859.74

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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.