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Finding the Fourth Proportional to 160,398.38, 221,405.09 and 92,442.49

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Solution

The fourth proportional to 160,398.38, 221,405.09 and 92,442.49 is: 127,602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,398.38 : 221,405.09 = 92,442.49 : x
  2. Step 2: Convert to fraction form
    160,398.38/221,405.09 = 92,442.49/x
  3. Step 3: Cross multiply
    160,398.38x = 221,405.09 × 92,442.49
  4. Step 4: Simplify right side
    160,398.38x = 20,467,237,818.27
  5. Step 5: Solve for x
    x = 20,467,237,818.27/160,398.38
  6. Step 6: Final answer
    x = 127,602.52

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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.