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Finding the Fourth Proportional to 161,466.35, 222,854.40 and 106,922.38

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Solution

The fourth proportional to 161,466.35, 222,854.40 and 106,922.38 is: 147,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,466.35 : 222,854.40 = 106,922.38 : x
  2. Step 2: Convert to fraction form
    161,466.35/222,854.40 = 106,922.38/x
  3. Step 3: Cross multiply
    161,466.35x = 222,854.40 × 106,922.38
  4. Step 4: Simplify right side
    161,466.35x = 23,828,122,841.47
  5. Step 5: Solve for x
    x = 23,828,122,841.47/161,466.35
  6. Step 6: Final answer
    x = 147,573.30

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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.