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Finding the Fourth Proportional to 225,811.60, 338,061.30 and 151,016.20

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Solution

The fourth proportional to 225,811.60, 338,061.30 and 151,016.20 is: 226,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,811.60 : 338,061.30 = 151,016.20 : x
  2. Step 2: Convert to fraction form
    225,811.60/338,061.30 = 151,016.20/x
  3. Step 3: Cross multiply
    225,811.60x = 338,061.30 × 151,016.20
  4. Step 4: Simplify right side
    225,811.60x = 51,052,732,893.06
  5. Step 5: Solve for x
    x = 51,052,732,893.06/225,811.60
  6. Step 6: Final answer
    x = 226,085.52

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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.