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Finding the Fourth Proportional to 105,240.51, 145,229.63 and 57,494.12

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Solution

The fourth proportional to 105,240.51, 145,229.63 and 57,494.12 is: 79,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,240.51 : 145,229.63 = 57,494.12 : x
  2. Step 2: Convert to fraction form
    105,240.51/145,229.63 = 57,494.12/x
  3. Step 3: Cross multiply
    105,240.51x = 145,229.63 × 57,494.12
  4. Step 4: Simplify right side
    105,240.51x = 8,349,848,761.16
  5. Step 5: Solve for x
    x = 8,349,848,761.16/105,240.51
  6. Step 6: Final answer
    x = 79,340.63

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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.