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Finding the Fourth Proportional to 214,543.68, 321,742.62 and 74,269.50

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Solution

The fourth proportional to 214,543.68, 321,742.62 and 74,269.50 is: 111,379.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,543.68 : 321,742.62 = 74,269.50 : x
  2. Step 2: Convert to fraction form
    214,543.68/321,742.62 = 74,269.50/x
  3. Step 3: Cross multiply
    214,543.68x = 321,742.62 × 74,269.50
  4. Step 4: Simplify right side
    214,543.68x = 23,895,663,516.09
  5. Step 5: Solve for x
    x = 23,895,663,516.09/214,543.68
  6. Step 6: Final answer
    x = 111,379.01

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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.