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Finding the Fourth Proportional to 105,105.72, 145,044 and 57,357.84

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Solution

The fourth proportional to 105,105.72, 145,044 and 57,357.84 is: 79,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,105.72 : 145,044 = 57,357.84 : x
  2. Step 2: Convert to fraction form
    105,105.72/145,044 = 57,357.84/x
  3. Step 3: Cross multiply
    105,105.72x = 145,044 × 57,357.84
  4. Step 4: Simplify right side
    105,105.72x = 8,319,410,544.96
  5. Step 5: Solve for x
    x = 8,319,410,544.96/105,105.72
  6. Step 6: Final answer
    x = 79,152.79

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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.