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Finding the Fourth Proportional to 105,238, 145,238.43 and 57,498.54

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Solution

The fourth proportional to 105,238, 145,238.43 and 57,498.54 is: 79,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,238 : 145,238.43 = 57,498.54 : x
  2. Step 2: Convert to fraction form
    105,238/145,238.43 = 57,498.54/x
  3. Step 3: Cross multiply
    105,238x = 145,238.43 × 57,498.54
  4. Step 4: Simplify right side
    105,238x = 8,350,997,676.89
  5. Step 5: Solve for x
    x = 8,350,997,676.89/105,238
  6. Step 6: Final answer
    x = 79,353.44

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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.