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Finding the Fourth Proportional to 199,605.40, 298,970.70 and 106,001.80

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Solution

The fourth proportional to 199,605.40, 298,970.70 and 106,001.80 is: 158,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,605.40 : 298,970.70 = 106,001.80 : x
  2. Step 2: Convert to fraction form
    199,605.40/298,970.70 = 106,001.80/x
  3. Step 3: Cross multiply
    199,605.40x = 298,970.70 × 106,001.80
  4. Step 4: Simplify right side
    199,605.40x = 31,691,432,347.26
  5. Step 5: Solve for x
    x = 31,691,432,347.26/199,605.40
  6. Step 6: Final answer
    x = 158,770.42

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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.