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Finding the Fourth Proportional to 192,509.74, 265,661.07 and 106,467.15

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Solution

The fourth proportional to 192,509.74, 265,661.07 and 106,467.15 is: 146,923.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,509.74 : 265,661.07 = 106,467.15 : x
  2. Step 2: Convert to fraction form
    192,509.74/265,661.07 = 106,467.15/x
  3. Step 3: Cross multiply
    192,509.74x = 265,661.07 × 106,467.15
  4. Step 4: Simplify right side
    192,509.74x = 28,284,176,054.77
  5. Step 5: Solve for x
    x = 28,284,176,054.77/192,509.74
  6. Step 6: Final answer
    x = 146,923.35

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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.