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Finding the Fourth Proportional to 200,994.84, 301,100.31 and 111,980.30

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Solution

The fourth proportional to 200,994.84, 301,100.31 and 111,980.30 is: 167,752.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,994.84 : 301,100.31 = 111,980.30 : x
  2. Step 2: Convert to fraction form
    200,994.84/301,100.31 = 111,980.30/x
  3. Step 3: Cross multiply
    200,994.84x = 301,100.31 × 111,980.30
  4. Step 4: Simplify right side
    200,994.84x = 33,717,301,538.39
  5. Step 5: Solve for x
    x = 33,717,301,538.39/200,994.84
  6. Step 6: Final answer
    x = 167,752.08

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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.