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Finding the Fourth Proportional to 222,746.90, 307,392.08 and 120,771.46

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Solution

The fourth proportional to 222,746.90, 307,392.08 and 120,771.46 is: 166,665.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,746.90 : 307,392.08 = 120,771.46 : x
  2. Step 2: Convert to fraction form
    222,746.90/307,392.08 = 120,771.46/x
  3. Step 3: Cross multiply
    222,746.90x = 307,392.08 × 120,771.46
  4. Step 4: Simplify right side
    222,746.90x = 37,124,190,753.76
  5. Step 5: Solve for x
    x = 37,124,190,753.76/222,746.90
  6. Step 6: Final answer
    x = 166,665.36

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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.