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Finding the Fourth Proportional to 223,051.62, 307,811.52 and 121,077

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Solution

The fourth proportional to 223,051.62, 307,811.52 and 121,077 is: 167,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,051.62 : 307,811.52 = 121,077 : x
  2. Step 2: Convert to fraction form
    223,051.62/307,811.52 = 121,077/x
  3. Step 3: Cross multiply
    223,051.62x = 307,811.52 × 121,077
  4. Step 4: Simplify right side
    223,051.62x = 37,268,895,407.04
  5. Step 5: Solve for x
    x = 37,268,895,407.04/223,051.62
  6. Step 6: Final answer
    x = 167,086.41

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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.