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Finding the Fourth Proportional to 156,408.64, 234,645.77 and 67,674.76

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Solution

The fourth proportional to 156,408.64, 234,645.77 and 67,674.76 is: 101,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,408.64 : 234,645.77 = 67,674.76 : x
  2. Step 2: Convert to fraction form
    156,408.64/234,645.77 = 67,674.76/x
  3. Step 3: Cross multiply
    156,408.64x = 234,645.77 × 67,674.76
  4. Step 4: Simplify right side
    156,408.64x = 15,879,596,169.77
  5. Step 5: Solve for x
    x = 15,879,596,169.77/156,408.64
  6. Step 6: Final answer
    x = 101,526.34

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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.