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Finding the Fourth Proportional to 225,941.42, 311,788.63 and 123,964.58

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Solution

The fourth proportional to 225,941.42, 311,788.63 and 123,964.58 is: 171,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,941.42 : 311,788.63 = 123,964.58 : x
  2. Step 2: Convert to fraction form
    225,941.42/311,788.63 = 123,964.58/x
  3. Step 3: Cross multiply
    225,941.42x = 311,788.63 × 123,964.58
  4. Step 4: Simplify right side
    225,941.42x = 38,650,746,566.73
  5. Step 5: Solve for x
    x = 38,650,746,566.73/225,941.42
  6. Step 6: Final answer
    x = 171,065.34

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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.