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Finding the Fourth Proportional to 186,788.52, 257,757.64 and 106,235.64

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Solution

The fourth proportional to 186,788.52, 257,757.64 and 106,235.64 is: 146,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,788.52 : 257,757.64 = 106,235.64 : x
  2. Step 2: Convert to fraction form
    186,788.52/257,757.64 = 106,235.64/x
  3. Step 3: Cross multiply
    186,788.52x = 257,757.64 × 106,235.64
  4. Step 4: Simplify right side
    186,788.52x = 27,383,047,850.29
  5. Step 5: Solve for x
    x = 27,383,047,850.29/186,788.52
  6. Step 6: Final answer
    x = 146,599.20

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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.