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Finding the Fourth Proportional to 201,408.06, 302,112.10 and 95,907.18

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Solution

The fourth proportional to 201,408.06, 302,112.10 and 95,907.18 is: 143,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,408.06 : 302,112.10 = 95,907.18 : x
  2. Step 2: Convert to fraction form
    201,408.06/302,112.10 = 95,907.18/x
  3. Step 3: Cross multiply
    201,408.06x = 302,112.10 × 95,907.18
  4. Step 4: Simplify right side
    201,408.06x = 28,974,719,554.88
  5. Step 5: Solve for x
    x = 28,974,719,554.88/201,408.06
  6. Step 6: Final answer
    x = 143,860.77

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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.