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Finding the Fourth Proportional to 160,945, 222,104.10 and 90,289

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Solution

The fourth proportional to 160,945, 222,104.10 and 90,289 is: 124,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,945 : 222,104.10 = 90,289 : x
  2. Step 2: Convert to fraction form
    160,945/222,104.10 = 90,289/x
  3. Step 3: Cross multiply
    160,945x = 222,104.10 × 90,289
  4. Step 4: Simplify right side
    160,945x = 20,053,557,084.90
  5. Step 5: Solve for x
    x = 20,053,557,084.90/160,945
  6. Step 6: Final answer
    x = 124,598.82

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