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Finding the Fourth Proportional to 220,969.32, 304,938.18 and 120,365.16

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Solution

The fourth proportional to 220,969.32, 304,938.18 and 120,365.16 is: 166,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,969.32 : 304,938.18 = 120,365.16 : x
  2. Step 2: Convert to fraction form
    220,969.32/304,938.18 = 120,365.16/x
  3. Step 3: Cross multiply
    220,969.32x = 304,938.18 × 120,365.16
  4. Step 4: Simplify right side
    220,969.32x = 36,703,932,825.81
  5. Step 5: Solve for x
    x = 36,703,932,825.81/220,969.32
  6. Step 6: Final answer
    x = 166,104.20

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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.