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Finding the Fourth Proportional to 160,946, 222,105.48 and 90,290

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Solution

The fourth proportional to 160,946, 222,105.48 and 90,290 is: 124,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,946 : 222,105.48 = 90,290 : x
  2. Step 2: Convert to fraction form
    160,946/222,105.48 = 90,290/x
  3. Step 3: Cross multiply
    160,946x = 222,105.48 × 90,290
  4. Step 4: Simplify right side
    160,946x = 20,053,903,789.20
  5. Step 5: Solve for x
    x = 20,053,903,789.20/160,946
  6. Step 6: Final answer
    x = 124,600.20

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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.