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Finding the Fourth Proportional to 109,245.66, 163,822.14 and 46,094.10

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Solution

The fourth proportional to 109,245.66, 163,822.14 and 46,094.10 is: 69,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,245.66 : 163,822.14 = 46,094.10 : x
  2. Step 2: Convert to fraction form
    109,245.66/163,822.14 = 46,094.10/x
  3. Step 3: Cross multiply
    109,245.66x = 163,822.14 × 46,094.10
  4. Step 4: Simplify right side
    109,245.66x = 7,551,234,103.37
  5. Step 5: Solve for x
    x = 7,551,234,103.37/109,245.66
  6. Step 6: Final answer
    x = 69,121.59

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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.