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Finding the Fourth Proportional to 200,844.52, 301,422.30 and 107,428.84

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Solution

The fourth proportional to 200,844.52, 301,422.30 and 107,428.84 is: 161,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,844.52 : 301,422.30 = 107,428.84 : x
  2. Step 2: Convert to fraction form
    200,844.52/301,422.30 = 107,428.84/x
  3. Step 3: Cross multiply
    200,844.52x = 301,422.30 × 107,428.84
  4. Step 4: Simplify right side
    200,844.52x = 32,381,448,039.13
  5. Step 5: Solve for x
    x = 32,381,448,039.13/200,844.52
  6. Step 6: Final answer
    x = 161,226.45

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1.5x scale

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.