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Finding the Fourth Proportional to 223,688.84, 335,289.94 and 111,452

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Solution

The fourth proportional to 223,688.84, 335,289.94 and 111,452 is: 167,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,688.84 : 335,289.94 = 111,452 : x
  2. Step 2: Convert to fraction form
    223,688.84/335,289.94 = 111,452/x
  3. Step 3: Cross multiply
    223,688.84x = 335,289.94 × 111,452
  4. Step 4: Simplify right side
    223,688.84x = 37,368,734,392.88
  5. Step 5: Solve for x
    x = 37,368,734,392.88/223,688.84
  6. Step 6: Final answer
    x = 167,056.77

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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.