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Finding the Fourth Proportional to 221,209.19, 305,268.98 and 120,607.19

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Solution

The fourth proportional to 221,209.19, 305,268.98 and 120,607.19 is: 166,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,209.19 : 305,268.98 = 120,607.19 : x
  2. Step 2: Convert to fraction form
    221,209.19/305,268.98 = 120,607.19/x
  3. Step 3: Cross multiply
    221,209.19x = 305,268.98 × 120,607.19
  4. Step 4: Simplify right side
    221,209.19x = 36,817,633,871.97
  5. Step 5: Solve for x
    x = 36,817,633,871.97/221,209.19
  6. Step 6: Final answer
    x = 166,438.08

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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.