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Finding the Fourth Proportional to 222,705.10, 333,604.05 and 138,205.90

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Solution

The fourth proportional to 222,705.10, 333,604.05 and 138,205.90 is: 207,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,705.10 : 333,604.05 = 138,205.90 : x
  2. Step 2: Convert to fraction form
    222,705.10/333,604.05 = 138,205.90/x
  3. Step 3: Cross multiply
    222,705.10x = 333,604.05 × 138,205.90
  4. Step 4: Simplify right side
    222,705.10x = 46,106,047,973.90
  5. Step 5: Solve for x
    x = 46,106,047,973.90/222,705.10
  6. Step 6: Final answer
    x = 207,027.36

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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.