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Finding the Fourth Proportional to 262,175.10, 393,656.52 and 149,982

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Solution

The fourth proportional to 262,175.10, 393,656.52 and 149,982 is: 225,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,175.10 : 393,656.52 = 149,982 : x
  2. Step 2: Convert to fraction form
    262,175.10/393,656.52 = 149,982/x
  3. Step 3: Cross multiply
    262,175.10x = 393,656.52 × 149,982
  4. Step 4: Simplify right side
    262,175.10x = 59,041,392,182.64
  5. Step 5: Solve for x
    x = 59,041,392,182.64/262,175.10
  6. Step 6: Final answer
    x = 225,198.32

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