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Finding the Fourth Proportional to 220,968.32, 304,936.80 and 120,364.16

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Solution

The fourth proportional to 220,968.32, 304,936.80 and 120,364.16 is: 166,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,968.32 : 304,936.80 = 120,364.16 : x
  2. Step 2: Convert to fraction form
    220,968.32/304,936.80 = 120,364.16/x
  3. Step 3: Cross multiply
    220,968.32x = 304,936.80 × 120,364.16
  4. Step 4: Simplify right side
    220,968.32x = 36,703,461,785.09
  5. Step 5: Solve for x
    x = 36,703,461,785.09/220,968.32
  6. Step 6: Final answer
    x = 166,102.82

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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.