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Finding the Fourth Proportional to 219,508.02, 302,921.10 and 118,906.02

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Solution

The fourth proportional to 219,508.02, 302,921.10 and 118,906.02 is: 164,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,508.02 : 302,921.10 = 118,906.02 : x
  2. Step 2: Convert to fraction form
    219,508.02/302,921.10 = 118,906.02/x
  3. Step 3: Cross multiply
    219,508.02x = 302,921.10 × 118,906.02
  4. Step 4: Simplify right side
    219,508.02x = 36,019,142,375.02
  5. Step 5: Solve for x
    x = 36,019,142,375.02/219,508.02
  6. Step 6: Final answer
    x = 164,090.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.