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Finding the Fourth Proportional to 192,054.89, 265,035.80 and 106,013.92

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Solution

The fourth proportional to 192,054.89, 265,035.80 and 106,013.92 is: 146,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,054.89 : 265,035.80 = 106,013.92 : x
  2. Step 2: Convert to fraction form
    192,054.89/265,035.80 = 106,013.92/x
  3. Step 3: Cross multiply
    192,054.89x = 265,035.80 × 106,013.92
  4. Step 4: Simplify right side
    192,054.89x = 28,097,483,568.27
  5. Step 5: Solve for x
    x = 28,097,483,568.27/192,054.89
  6. Step 6: Final answer
    x = 146,299.24

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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.