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Finding the Fourth Proportional to 142,142.70, 213,156.45 and 48,600.30

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Solution

The fourth proportional to 142,142.70, 213,156.45 and 48,600.30 is: 72,880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,142.70 : 213,156.45 = 48,600.30 : x
  2. Step 2: Convert to fraction form
    142,142.70/213,156.45 = 48,600.30/x
  3. Step 3: Cross multiply
    142,142.70x = 213,156.45 × 48,600.30
  4. Step 4: Simplify right side
    142,142.70x = 10,359,467,416.94
  5. Step 5: Solve for x
    x = 10,359,467,416.94/142,142.70
  6. Step 6: Final answer
    x = 72,880.76

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