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Finding the Fourth Proportional to 225,138.23, 310,693.21 and 123,161.50

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Solution

The fourth proportional to 225,138.23, 310,693.21 and 123,161.50 is: 169,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,138.23 : 310,693.21 = 123,161.50 : x
  2. Step 2: Convert to fraction form
    225,138.23/310,693.21 = 123,161.50/x
  3. Step 3: Cross multiply
    225,138.23x = 310,693.21 × 123,161.50
  4. Step 4: Simplify right side
    225,138.23x = 38,265,441,783.42
  5. Step 5: Solve for x
    x = 38,265,441,783.42/225,138.23
  6. Step 6: Final answer
    x = 169,964.21

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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.