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Finding the Fourth Proportional to 160,263.97, 221,164.02 and 87,667.11

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Solution

The fourth proportional to 160,263.97, 221,164.02 and 87,667.11 is: 120,980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,263.97 : 221,164.02 = 87,667.11 : x
  2. Step 2: Convert to fraction form
    160,263.97/221,164.02 = 87,667.11/x
  3. Step 3: Cross multiply
    160,263.97x = 221,164.02 × 87,667.11
  4. Step 4: Simplify right side
    160,263.97x = 19,388,810,469.38
  5. Step 5: Solve for x
    x = 19,388,810,469.38/160,263.97
  6. Step 6: Final answer
    x = 120,980.47

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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.