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Finding the Fourth Proportional to 78,493.40, 117,567.30 and 69,738.20

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Solution

The fourth proportional to 78,493.40, 117,567.30 and 69,738.20 is: 104,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,493.40 : 117,567.30 = 69,738.20 : x
  2. Step 2: Convert to fraction form
    78,493.40/117,567.30 = 69,738.20/x
  3. Step 3: Cross multiply
    78,493.40x = 117,567.30 × 69,738.20
  4. Step 4: Simplify right side
    78,493.40x = 8,198,931,880.86
  5. Step 5: Solve for x
    x = 8,198,931,880.86/78,493.40
  6. Step 6: Final answer
    x = 104,453.77

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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.