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Finding the Fourth Proportional to 160,492.17, 221,460.31 and 92,508.33

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Solution

The fourth proportional to 160,492.17, 221,460.31 and 92,508.33 is: 127,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,492.17 : 221,460.31 = 92,508.33 : x
  2. Step 2: Convert to fraction form
    160,492.17/221,460.31 = 92,508.33/x
  3. Step 3: Cross multiply
    160,492.17x = 221,460.31 × 92,508.33
  4. Step 4: Simplify right side
    160,492.17x = 20,486,923,439.38
  5. Step 5: Solve for x
    x = 20,486,923,439.38/160,492.17
  6. Step 6: Final answer
    x = 127,650.61

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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.