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Finding the Fourth Proportional to 105,576.85, 145,695.81 and 57,178.63

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Solution

The fourth proportional to 105,576.85, 145,695.81 and 57,178.63 is: 78,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,576.85 : 145,695.81 = 57,178.63 : x
  2. Step 2: Convert to fraction form
    105,576.85/145,695.81 = 57,178.63/x
  3. Step 3: Cross multiply
    105,576.85x = 145,695.81 × 57,178.63
  4. Step 4: Simplify right side
    105,576.85x = 8,330,686,812.54
  5. Step 5: Solve for x
    x = 8,330,686,812.54/105,576.85
  6. Step 6: Final answer
    x = 78,906.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.