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Finding the Fourth Proportional to 201,919.16, 302,685.87 and 75,525.14

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Solution

The fourth proportional to 201,919.16, 302,685.87 and 75,525.14 is: 113,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,919.16 : 302,685.87 = 75,525.14 : x
  2. Step 2: Convert to fraction form
    201,919.16/302,685.87 = 75,525.14/x
  3. Step 3: Cross multiply
    201,919.16x = 302,685.87 × 75,525.14
  4. Step 4: Simplify right side
    201,919.16x = 22,860,392,707.77
  5. Step 5: Solve for x
    x = 22,860,392,707.77/201,919.16
  6. Step 6: Final answer
    x = 113,215.57

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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.