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Finding the Fourth Proportional to 142,193.44, 213,301.50 and 48,700

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Solution

The fourth proportional to 142,193.44, 213,301.50 and 48,700 is: 73,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,193.44 : 213,301.50 = 48,700 : x
  2. Step 2: Convert to fraction form
    142,193.44/213,301.50 = 48,700/x
  3. Step 3: Cross multiply
    142,193.44x = 213,301.50 × 48,700
  4. Step 4: Simplify right side
    142,193.44x = 10,387,783,050
  5. Step 5: Solve for x
    x = 10,387,783,050/142,193.44
  6. Step 6: Final answer
    x = 73,053.88

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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.