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Finding the Fourth Proportional to 123,322, 185,012.16 and 40,216

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Solution

The fourth proportional to 123,322, 185,012.16 and 40,216 is: 60,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,322 : 185,012.16 = 40,216 : x
  2. Step 2: Convert to fraction form
    123,322/185,012.16 = 40,216/x
  3. Step 3: Cross multiply
    123,322x = 185,012.16 × 40,216
  4. Step 4: Simplify right side
    123,322x = 7,440,449,026.56
  5. Step 5: Solve for x
    x = 7,440,449,026.56/123,322
  6. Step 6: Final answer
    x = 60,333.51

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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.