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Finding the Fourth Proportional to 214,956.58, 322,464.04 and 74,696.98

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Solution

The fourth proportional to 214,956.58, 322,464.04 and 74,696.98 is: 112,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,956.58 : 322,464.04 = 74,696.98 : x
  2. Step 2: Convert to fraction form
    214,956.58/322,464.04 = 74,696.98/x
  3. Step 3: Cross multiply
    214,956.58x = 322,464.04 × 74,696.98
  4. Step 4: Simplify right side
    214,956.58x = 24,087,089,946.60
  5. Step 5: Solve for x
    x = 24,087,089,946.60/214,956.58
  6. Step 6: Final answer
    x = 112,055.61

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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.