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Finding the Fourth Proportional to 201,281.10, 301,958.10 and 101,189.40

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Solution

The fourth proportional to 201,281.10, 301,958.10 and 101,189.40 is: 151,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,281.10 : 301,958.10 = 101,189.40 : x
  2. Step 2: Convert to fraction form
    201,281.10/301,958.10 = 101,189.40/x
  3. Step 3: Cross multiply
    201,281.10x = 301,958.10 × 101,189.40
  4. Step 4: Simplify right side
    201,281.10x = 30,554,958,964.14
  5. Step 5: Solve for x
    x = 30,554,958,964.14/201,281.10
  6. Step 6: Final answer
    x = 151,802.42

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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.