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Finding the Fourth Proportional to 222,828.54, 307,503.54 and 120,854.01

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Solution

The fourth proportional to 222,828.54, 307,503.54 and 120,854.01 is: 166,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,828.54 : 307,503.54 = 120,854.01 : x
  2. Step 2: Convert to fraction form
    222,828.54/307,503.54 = 120,854.01/x
  3. Step 3: Cross multiply
    222,828.54x = 307,503.54 × 120,854.01
  4. Step 4: Simplify right side
    222,828.54x = 37,163,035,898.20
  5. Step 5: Solve for x
    x = 37,163,035,898.20/222,828.54
  6. Step 6: Final answer
    x = 166,778.62

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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.