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Finding the Fourth Proportional to 186,563.25, 257,464.24 and 106,004.42

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Solution

The fourth proportional to 186,563.25, 257,464.24 and 106,004.42 is: 146,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,563.25 : 257,464.24 = 106,004.42 : x
  2. Step 2: Convert to fraction form
    186,563.25/257,464.24 = 106,004.42/x
  3. Step 3: Cross multiply
    186,563.25x = 257,464.24 × 106,004.42
  4. Step 4: Simplify right side
    186,563.25x = 27,292,346,845.10
  5. Step 5: Solve for x
    x = 27,292,346,845.10/186,563.25
  6. Step 6: Final answer
    x = 146,290.05

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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.