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Finding the Fourth Proportional to 200,240.32, 276,327.84 and 110,816.32

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Solution

The fourth proportional to 200,240.32, 276,327.84 and 110,816.32 is: 152,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,240.32 : 276,327.84 = 110,816.32 : x
  2. Step 2: Convert to fraction form
    200,240.32/276,327.84 = 110,816.32/x
  3. Step 3: Cross multiply
    200,240.32x = 276,327.84 × 110,816.32
  4. Step 4: Simplify right side
    200,240.32x = 30,621,634,342.35
  5. Step 5: Solve for x
    x = 30,621,634,342.35/200,240.32
  6. Step 6: Final answer
    x = 152,924.42

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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.