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Finding the Fourth Proportional to 200,744.12, 301,281.84 and 100,932.68

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Solution

The fourth proportional to 200,744.12, 301,281.84 and 100,932.68 is: 151,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,744.12 : 301,281.84 = 100,932.68 : x
  2. Step 2: Convert to fraction form
    200,744.12/301,281.84 = 100,932.68/x
  3. Step 3: Cross multiply
    200,744.12x = 301,281.84 × 100,932.68
  4. Step 4: Simplify right side
    200,744.12x = 30,409,183,546.53
  5. Step 5: Solve for x
    x = 30,409,183,546.53/200,744.12
  6. Step 6: Final answer
    x = 151,482.31

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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.