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Finding the Fourth Proportional to 109,295.80, 163,911.30 and 42,697.60

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Solution

The fourth proportional to 109,295.80, 163,911.30 and 42,697.60 is: 64,033.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,295.80 : 163,911.30 = 42,697.60 : x
  2. Step 2: Convert to fraction form
    109,295.80/163,911.30 = 42,697.60/x
  3. Step 3: Cross multiply
    109,295.80x = 163,911.30 × 42,697.60
  4. Step 4: Simplify right side
    109,295.80x = 6,998,619,122.88
  5. Step 5: Solve for x
    x = 6,998,619,122.88/109,295.80
  6. Step 6: Final answer
    x = 64,033.74

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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.