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Finding the Fourth Proportional to 222,402.60, 333,150.30 and 137,903.40

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Solution

The fourth proportional to 222,402.60, 333,150.30 and 137,903.40 is: 206,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,402.60 : 333,150.30 = 137,903.40 : x
  2. Step 2: Convert to fraction form
    222,402.60/333,150.30 = 137,903.40/x
  3. Step 3: Cross multiply
    222,402.60x = 333,150.30 × 137,903.40
  4. Step 4: Simplify right side
    222,402.60x = 45,942,559,081.02
  5. Step 5: Solve for x
    x = 45,942,559,081.02/222,402.60
  6. Step 6: Final answer
    x = 206,573.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.