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Finding the Fourth Proportional to 160,410.97, 221,390.87 and 92,415.01

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Solution

The fourth proportional to 160,410.97, 221,390.87 and 92,415.01 is: 127,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,410.97 : 221,390.87 = 92,415.01 : x
  2. Step 2: Convert to fraction form
    160,410.97/221,390.87 = 92,415.01/x
  3. Step 3: Cross multiply
    160,410.97x = 221,390.87 × 92,415.01
  4. Step 4: Simplify right side
    160,410.97x = 20,459,839,002.88
  5. Step 5: Solve for x
    x = 20,459,839,002.88/160,410.97
  6. Step 6: Final answer
    x = 127,546.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.