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Finding the Fourth Proportional to 192,618.91, 265,807.66 and 106,578.06

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Solution

The fourth proportional to 192,618.91, 265,807.66 and 106,578.06 is: 147,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,618.91 : 265,807.66 = 106,578.06 : x
  2. Step 2: Convert to fraction form
    192,618.91/265,807.66 = 106,578.06/x
  3. Step 3: Cross multiply
    192,618.91x = 265,807.66 × 106,578.06
  4. Step 4: Simplify right side
    192,618.91x = 28,329,264,735.94
  5. Step 5: Solve for x
    x = 28,329,264,735.94/192,618.91
  6. Step 6: Final answer
    x = 147,074.16

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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.