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Finding the Fourth Proportional to 266,101.60, 398,614.80 and 165,954.40

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Solution

The fourth proportional to 266,101.60, 398,614.80 and 165,954.40 is: 248,596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,101.60 : 398,614.80 = 165,954.40 : x
  2. Step 2: Convert to fraction form
    266,101.60/398,614.80 = 165,954.40/x
  3. Step 3: Cross multiply
    266,101.60x = 398,614.80 × 165,954.40
  4. Step 4: Simplify right side
    266,101.60x = 66,151,879,965.12
  5. Step 5: Solve for x
    x = 66,151,879,965.12/266,101.60
  6. Step 6: Final answer
    x = 248,596.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.