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Finding the Fourth Proportional to 160,414, 221,368.12 and 88,794

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Solution

The fourth proportional to 160,414, 221,368.12 and 88,794 is: 122,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,414 : 221,368.12 = 88,794 : x
  2. Step 2: Convert to fraction form
    160,414/221,368.12 = 88,794/x
  3. Step 3: Cross multiply
    160,414x = 221,368.12 × 88,794
  4. Step 4: Simplify right side
    160,414x = 19,656,160,847.28
  5. Step 5: Solve for x
    x = 19,656,160,847.28/160,414
  6. Step 6: Final answer
    x = 122,533.95

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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.