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Finding the Fourth Proportional to 192,768.72, 265,989.09 and 121,097.98

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Solution

The fourth proportional to 192,768.72, 265,989.09 and 121,097.98 is: 167,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,768.72 : 265,989.09 = 121,097.98 : x
  2. Step 2: Convert to fraction form
    192,768.72/265,989.09 = 121,097.98/x
  3. Step 3: Cross multiply
    192,768.72x = 265,989.09 × 121,097.98
  4. Step 4: Simplify right side
    192,768.72x = 32,210,741,501.04
  5. Step 5: Solve for x
    x = 32,210,741,501.04/192,768.72
  6. Step 6: Final answer
    x = 167,095.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.