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Finding the Fourth Proportional to 192,202.74, 265,215.06 and 107,323.38

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Solution

The fourth proportional to 192,202.74, 265,215.06 and 107,323.38 is: 148,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,202.74 : 265,215.06 = 107,323.38 : x
  2. Step 2: Convert to fraction form
    192,202.74/265,215.06 = 107,323.38/x
  3. Step 3: Cross multiply
    192,202.74x = 265,215.06 × 107,323.38
  4. Step 4: Simplify right side
    192,202.74x = 28,463,776,666.10
  5. Step 5: Solve for x
    x = 28,463,776,666.10/192,202.74
  6. Step 6: Final answer
    x = 148,092.46

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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.