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Finding the Fourth Proportional to 222,214.66, 306,654 and 120,237.88

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Solution

The fourth proportional to 222,214.66, 306,654 and 120,237.88 is: 165,927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,214.66 : 306,654 = 120,237.88 : x
  2. Step 2: Convert to fraction form
    222,214.66/306,654 = 120,237.88/x
  3. Step 3: Cross multiply
    222,214.66x = 306,654 × 120,237.88
  4. Step 4: Simplify right side
    222,214.66x = 36,871,426,853.52
  5. Step 5: Solve for x
    x = 36,871,426,853.52/222,214.66
  6. Step 6: Final answer
    x = 165,927.07

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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.