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Finding the Fourth Proportional to 202,054.62, 303,171.33 and 105,968.91

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Solution

The fourth proportional to 202,054.62, 303,171.33 and 105,968.91 is: 159,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,054.62 : 303,171.33 = 105,968.91 : x
  2. Step 2: Convert to fraction form
    202,054.62/303,171.33 = 105,968.91/x
  3. Step 3: Cross multiply
    202,054.62x = 303,171.33 × 105,968.91
  4. Step 4: Simplify right side
    202,054.62x = 32,126,735,383.35
  5. Step 5: Solve for x
    x = 32,126,735,383.35/202,054.62
  6. Step 6: Final answer
    x = 159,000.25

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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.