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Finding the Fourth Proportional to 214,614.93, 321,703.70 and 96,254.49

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Solution

The fourth proportional to 214,614.93, 321,703.70 and 96,254.49 is: 144,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,614.93 : 321,703.70 = 96,254.49 : x
  2. Step 2: Convert to fraction form
    214,614.93/321,703.70 = 96,254.49/x
  3. Step 3: Cross multiply
    214,614.93x = 321,703.70 × 96,254.49
  4. Step 4: Simplify right side
    214,614.93x = 30,965,425,093.34
  5. Step 5: Solve for x
    x = 30,965,425,093.34/214,614.93
  6. Step 6: Final answer
    x = 144,283.65

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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.