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Finding the Fourth Proportional to 136,744.44, 205,100.10 and 36,897

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Solution

The fourth proportional to 136,744.44, 205,100.10 and 36,897 is: 55,341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,744.44 : 205,100.10 = 36,897 : x
  2. Step 2: Convert to fraction form
    136,744.44/205,100.10 = 36,897/x
  3. Step 3: Cross multiply
    136,744.44x = 205,100.10 × 36,897
  4. Step 4: Simplify right side
    136,744.44x = 7,567,578,389.70
  5. Step 5: Solve for x
    x = 7,567,578,389.70/136,744.44
  6. Step 6: Final answer
    x = 55,341.03

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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.