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Finding the Fourth Proportional to 214,908.39, 322,251.75 and 96,478.16

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Solution

The fourth proportional to 214,908.39, 322,251.75 and 96,478.16 is: 144,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,908.39 : 322,251.75 = 96,478.16 : x
  2. Step 2: Convert to fraction form
    214,908.39/322,251.75 = 96,478.16/x
  3. Step 3: Cross multiply
    214,908.39x = 322,251.75 × 96,478.16
  4. Step 4: Simplify right side
    214,908.39x = 31,090,254,285.52
  5. Step 5: Solve for x
    x = 31,090,254,285.52/214,908.39
  6. Step 6: Final answer
    x = 144,667.48

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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.