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Finding the Fourth Proportional to 271,409.67, 374,562.33 and 156,709.32

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Solution

The fourth proportional to 271,409.67, 374,562.33 and 156,709.32 is: 216,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,409.67 : 374,562.33 = 156,709.32 : x
  2. Step 2: Convert to fraction form
    271,409.67/374,562.33 = 156,709.32/x
  3. Step 3: Cross multiply
    271,409.67x = 374,562.33 × 156,709.32
  4. Step 4: Simplify right side
    271,409.67x = 58,697,408,031.92
  5. Step 5: Solve for x
    x = 58,697,408,031.92/271,409.67
  6. Step 6: Final answer
    x = 216,268.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.