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Finding the Fourth Proportional to 192,466.65, 265,580.78 and 106,414.01

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Solution

The fourth proportional to 192,466.65, 265,580.78 and 106,414.01 is: 146,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,466.65 : 265,580.78 = 106,414.01 : x
  2. Step 2: Convert to fraction form
    192,466.65/265,580.78 = 106,414.01/x
  3. Step 3: Cross multiply
    192,466.65x = 265,580.78 × 106,414.01
  4. Step 4: Simplify right side
    192,466.65x = 28,261,513,918.75
  5. Step 5: Solve for x
    x = 28,261,513,918.75/192,466.65
  6. Step 6: Final answer
    x = 146,838.50

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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.