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Finding the Fourth Proportional to 127,333.53, 191,083.22 and 48,448.41

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Solution

The fourth proportional to 127,333.53, 191,083.22 and 48,448.41 is: 72,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,333.53 : 191,083.22 = 48,448.41 : x
  2. Step 2: Convert to fraction form
    127,333.53/191,083.22 = 48,448.41/x
  3. Step 3: Cross multiply
    127,333.53x = 191,083.22 × 48,448.41
  4. Step 4: Simplify right side
    127,333.53x = 9,257,677,944.44
  5. Step 5: Solve for x
    x = 9,257,677,944.44/127,333.53
  6. Step 6: Final answer
    x = 72,704.16

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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.