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Finding the Fourth Proportional to 222,652.50, 307,261.53 and 133,228.50

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Solution

The fourth proportional to 222,652.50, 307,261.53 and 133,228.50 is: 183,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,652.50 : 307,261.53 = 133,228.50 : x
  2. Step 2: Convert to fraction form
    222,652.50/307,261.53 = 133,228.50/x
  3. Step 3: Cross multiply
    222,652.50x = 307,261.53 × 133,228.50
  4. Step 4: Simplify right side
    222,652.50x = 40,935,992,749.61
  5. Step 5: Solve for x
    x = 40,935,992,749.61/222,652.50
  6. Step 6: Final answer
    x = 183,855.98

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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.