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Finding the Fourth Proportional to 223,171.32, 307,976.94 and 122,575.80

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Solution

The fourth proportional to 223,171.32, 307,976.94 and 122,575.80 is: 169,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,171.32 : 307,976.94 = 122,575.80 : x
  2. Step 2: Convert to fraction form
    223,171.32/307,976.94 = 122,575.80/x
  3. Step 3: Cross multiply
    223,171.32x = 307,976.94 × 122,575.80
  4. Step 4: Simplify right side
    223,171.32x = 37,750,519,802.05
  5. Step 5: Solve for x
    x = 37,750,519,802.05/223,171.32
  6. Step 6: Final answer
    x = 169,154.89

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