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Finding the Fourth Proportional to 201,793.16, 302,648.40 and 75,410.08

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Solution

The fourth proportional to 201,793.16, 302,648.40 and 75,410.08 is: 113,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,793.16 : 302,648.40 = 75,410.08 : x
  2. Step 2: Convert to fraction form
    201,793.16/302,648.40 = 75,410.08/x
  3. Step 3: Cross multiply
    201,793.16x = 302,648.40 × 75,410.08
  4. Step 4: Simplify right side
    201,793.16x = 22,822,740,055.87
  5. Step 5: Solve for x
    x = 22,822,740,055.87/201,793.16
  6. Step 6: Final answer
    x = 113,099.67

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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.