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Finding the Fourth Proportional to 201,665.97, 278,268.19 and 116,766.63

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Solution

The fourth proportional to 201,665.97, 278,268.19 and 116,766.63 is: 161,120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,665.97 : 278,268.19 = 116,766.63 : x
  2. Step 2: Convert to fraction form
    201,665.97/278,268.19 = 116,766.63/x
  3. Step 3: Cross multiply
    201,665.97x = 278,268.19 × 116,766.63
  4. Step 4: Simplify right side
    201,665.97x = 32,492,438,782.50
  5. Step 5: Solve for x
    x = 32,492,438,782.50/201,665.97
  6. Step 6: Final answer
    x = 161,120.09

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1.5x scale

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.