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Finding the Fourth Proportional to 210,193.50, 290,067.03 and 134,742

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Solution

The fourth proportional to 210,193.50, 290,067.03 and 134,742 is: 185,943.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,193.50 : 290,067.03 = 134,742 : x
  2. Step 2: Convert to fraction form
    210,193.50/290,067.03 = 134,742/x
  3. Step 3: Cross multiply
    210,193.50x = 290,067.03 × 134,742
  4. Step 4: Simplify right side
    210,193.50x = 39,084,211,756.26
  5. Step 5: Solve for x
    x = 39,084,211,756.26/210,193.50
  6. Step 6: Final answer
    x = 185,943.96

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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.