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Finding the Fourth Proportional to 220,602.24, 304,431.36 and 120,000

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Solution

The fourth proportional to 220,602.24, 304,431.36 and 120,000 is: 165,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,602.24 : 304,431.36 = 120,000 : x
  2. Step 2: Convert to fraction form
    220,602.24/304,431.36 = 120,000/x
  3. Step 3: Cross multiply
    220,602.24x = 304,431.36 × 120,000
  4. Step 4: Simplify right side
    220,602.24x = 36,531,763,200
  5. Step 5: Solve for x
    x = 36,531,763,200/220,602.24
  6. Step 6: Final answer
    x = 165,600.15

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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.