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Finding the Fourth Proportional to 109,974.90, 164,890.35 and 43,374.90

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Solution

The fourth proportional to 109,974.90, 164,890.35 and 43,374.90 is: 65,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,974.90 : 164,890.35 = 43,374.90 : x
  2. Step 2: Convert to fraction form
    109,974.90/164,890.35 = 43,374.90/x
  3. Step 3: Cross multiply
    109,974.90x = 164,890.35 × 43,374.90
  4. Step 4: Simplify right side
    109,974.90x = 7,152,102,442.22
  5. Step 5: Solve for x
    x = 7,152,102,442.22/109,974.90
  6. Step 6: Final answer
    x = 65,033.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.