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Finding the Fourth Proportional to 229,114.40, 343,671.60 and 122,826.20

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Solution

The fourth proportional to 229,114.40, 343,671.60 and 122,826.20 is: 184,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,114.40 : 343,671.60 = 122,826.20 : x
  2. Step 2: Convert to fraction form
    229,114.40/343,671.60 = 122,826.20/x
  3. Step 3: Cross multiply
    229,114.40x = 343,671.60 × 122,826.20
  4. Step 4: Simplify right side
    229,114.40x = 42,211,876,675.92
  5. Step 5: Solve for x
    x = 42,211,876,675.92/229,114.40
  6. Step 6: Final answer
    x = 184,239.30

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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.