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Finding the Fourth Proportional to 214,716.60, 322,130.58 and 81,599.16

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Solution

The fourth proportional to 214,716.60, 322,130.58 and 81,599.16 is: 122,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,716.60 : 322,130.58 = 81,599.16 : x
  2. Step 2: Convert to fraction form
    214,716.60/322,130.58 = 81,599.16/x
  3. Step 3: Cross multiply
    214,716.60x = 322,130.58 × 81,599.16
  4. Step 4: Simplify right side
    214,716.60x = 26,285,584,738.31
  5. Step 5: Solve for x
    x = 26,285,584,738.31/214,716.60
  6. Step 6: Final answer
    x = 122,419.90

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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.