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Finding the Fourth Proportional to 142,454.70, 213,652.89 and 48,967.74

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Solution

The fourth proportional to 142,454.70, 213,652.89 and 48,967.74 is: 73,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,454.70 : 213,652.89 = 48,967.74 : x
  2. Step 2: Convert to fraction form
    142,454.70/213,652.89 = 48,967.74/x
  3. Step 3: Cross multiply
    142,454.70x = 213,652.89 × 48,967.74
  4. Step 4: Simplify right side
    142,454.70x = 10,462,099,167.77
  5. Step 5: Solve for x
    x = 10,462,099,167.77/142,454.70
  6. Step 6: Final answer
    x = 73,441.59

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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.