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Finding the Fourth Proportional to 229,544.60, 343,977.90 and 111,074.84

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Solution

The fourth proportional to 229,544.60, 343,977.90 and 111,074.84 is: 166,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,544.60 : 343,977.90 = 111,074.84 : x
  2. Step 2: Convert to fraction form
    229,544.60/343,977.90 = 111,074.84/x
  3. Step 3: Cross multiply
    229,544.60x = 343,977.90 × 111,074.84
  4. Step 4: Simplify right side
    229,544.60x = 38,207,290,206.04
  5. Step 5: Solve for x
    x = 38,207,290,206.04/229,544.60
  6. Step 6: Final answer
    x = 166,448.22

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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.