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Finding the Fourth Proportional to 142,576.96, 213,865.56 and 42,747.64

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Solution

The fourth proportional to 142,576.96, 213,865.56 and 42,747.64 is: 64,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,576.96 : 213,865.56 = 42,747.64 : x
  2. Step 2: Convert to fraction form
    142,576.96/213,865.56 = 42,747.64/x
  3. Step 3: Cross multiply
    142,576.96x = 213,865.56 × 42,747.64
  4. Step 4: Simplify right side
    142,576.96x = 9,142,247,967.28
  5. Step 5: Solve for x
    x = 9,142,247,967.28/142,576.96
  6. Step 6: Final answer
    x = 64,121.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.