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Finding the Fourth Proportional to 186,774.85, 257,771.39 and 106,214.48

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Solution

The fourth proportional to 186,774.85, 257,771.39 and 106,214.48 is: 146,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,774.85 : 257,771.39 = 106,214.48 : x
  2. Step 2: Convert to fraction form
    186,774.85/257,771.39 = 106,214.48/x
  3. Step 3: Cross multiply
    186,774.85x = 257,771.39 × 106,214.48
  4. Step 4: Simplify right side
    186,774.85x = 27,379,054,147.73
  5. Step 5: Solve for x
    x = 27,379,054,147.73/186,774.85
  6. Step 6: Final answer
    x = 146,588.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.