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Finding the Fourth Proportional to 225,429, 338,166.07 and 83,311.63

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Solution

The fourth proportional to 225,429, 338,166.07 and 83,311.63 is: 124,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,429 : 338,166.07 = 83,311.63 : x
  2. Step 2: Convert to fraction form
    225,429/338,166.07 = 83,311.63/x
  3. Step 3: Cross multiply
    225,429x = 338,166.07 × 83,311.63
  4. Step 4: Simplify right side
    225,429x = 28,173,166,502.39
  5. Step 5: Solve for x
    x = 28,173,166,502.39/225,429
  6. Step 6: Final answer
    x = 124,975.79

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