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Finding the Fourth Proportional to 214,825.68, 322,053.84 and 74,566.08

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Solution

The fourth proportional to 214,825.68, 322,053.84 and 74,566.08 is: 111,785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,825.68 : 322,053.84 = 74,566.08 : x
  2. Step 2: Convert to fraction form
    214,825.68/322,053.84 = 74,566.08/x
  3. Step 3: Cross multiply
    214,825.68x = 322,053.84 × 74,566.08
  4. Step 4: Simplify right side
    214,825.68x = 24,014,292,397.75
  5. Step 5: Solve for x
    x = 24,014,292,397.75/214,825.68
  6. Step 6: Final answer
    x = 111,785.02

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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.