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Finding the Fourth Proportional to 105,278.22, 145,286.04 and 57,534.54

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Solution

The fourth proportional to 105,278.22, 145,286.04 and 57,534.54 is: 79,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,278.22 : 145,286.04 = 57,534.54 : x
  2. Step 2: Convert to fraction form
    105,278.22/145,286.04 = 57,534.54/x
  3. Step 3: Cross multiply
    105,278.22x = 145,286.04 × 57,534.54
  4. Step 4: Simplify right side
    105,278.22x = 8,358,965,479.82
  5. Step 5: Solve for x
    x = 8,358,965,479.82/105,278.22
  6. Step 6: Final answer
    x = 79,398.81

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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.