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Finding the Fourth Proportional to 227,958.72, 341,977.44 and 101,643.84

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Solution

The fourth proportional to 227,958.72, 341,977.44 and 101,643.84 is: 152,483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,958.72 : 341,977.44 = 101,643.84 : x
  2. Step 2: Convert to fraction form
    227,958.72/341,977.44 = 101,643.84/x
  3. Step 3: Cross multiply
    227,958.72x = 341,977.44 × 101,643.84
  4. Step 4: Simplify right side
    227,958.72x = 34,759,900,194.97
  5. Step 5: Solve for x
    x = 34,759,900,194.97/227,958.72
  6. Step 6: Final answer
    x = 152,483.31

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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.