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Finding the Fourth Proportional to 152,633.76, 228,989.52 and 47,453.60

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Solution

The fourth proportional to 152,633.76, 228,989.52 and 47,453.60 is: 71,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,633.76 : 228,989.52 = 47,453.60 : x
  2. Step 2: Convert to fraction form
    152,633.76/228,989.52 = 47,453.60/x
  3. Step 3: Cross multiply
    152,633.76x = 228,989.52 × 47,453.60
  4. Step 4: Simplify right side
    152,633.76x = 10,866,377,086.27
  5. Step 5: Solve for x
    x = 10,866,377,086.27/152,633.76
  6. Step 6: Final answer
    x = 71,192.49

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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.