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Finding the Fourth Proportional to 76,201.93, 105,154.05 and 42,208.44

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Solution

The fourth proportional to 76,201.93, 105,154.05 and 42,208.44 is: 58,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,201.93 : 105,154.05 = 42,208.44 : x
  2. Step 2: Convert to fraction form
    76,201.93/105,154.05 = 42,208.44/x
  3. Step 3: Cross multiply
    76,201.93x = 105,154.05 × 42,208.44
  4. Step 4: Simplify right side
    76,201.93x = 4,438,388,410.18
  5. Step 5: Solve for x
    x = 4,438,388,410.18/76,201.93
  6. Step 6: Final answer
    x = 58,245.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.