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Finding the Fourth Proportional to 214,216.46, 321,101.88 and 71,956.16

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Solution

The fourth proportional to 214,216.46, 321,101.88 and 71,956.16 is: 107,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,216.46 : 321,101.88 = 71,956.16 : x
  2. Step 2: Convert to fraction form
    214,216.46/321,101.88 = 71,956.16/x
  3. Step 3: Cross multiply
    214,216.46x = 321,101.88 × 71,956.16
  4. Step 4: Simplify right side
    214,216.46x = 23,105,258,253.58
  5. Step 5: Solve for x
    x = 23,105,258,253.58/214,216.46
  6. Step 6: Final answer
    x = 107,859.40

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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.