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Finding the Fourth Proportional to 214,614.68, 321,703.32 and 96,254.24

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Solution

The fourth proportional to 214,614.68, 321,703.32 and 96,254.24 is: 144,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,614.68 : 321,703.32 = 96,254.24 : x
  2. Step 2: Convert to fraction form
    214,614.68/321,703.32 = 96,254.24/x
  3. Step 3: Cross multiply
    214,614.68x = 321,703.32 × 96,254.24
  4. Step 4: Simplify right side
    214,614.68x = 30,965,308,572.08
  5. Step 5: Solve for x
    x = 30,965,308,572.08/214,614.68
  6. Step 6: Final answer
    x = 144,283.27

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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.