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Finding the Fourth Proportional to 203,111.80, 280,829.34 and 177,889

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Solution

The fourth proportional to 203,111.80, 280,829.34 and 177,889 is: 245,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,111.80 : 280,829.34 = 177,889 : x
  2. Step 2: Convert to fraction form
    203,111.80/280,829.34 = 177,889/x
  3. Step 3: Cross multiply
    203,111.80x = 280,829.34 × 177,889
  4. Step 4: Simplify right side
    203,111.80x = 49,956,450,463.26
  5. Step 5: Solve for x
    x = 49,956,450,463.26/203,111.80
  6. Step 6: Final answer
    x = 245,955.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.