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Finding the Fourth Proportional to 222,779.22, 333,684.78 and 137,129.01

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Solution

The fourth proportional to 222,779.22, 333,684.78 and 137,129.01 is: 205,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,779.22 : 333,684.78 = 137,129.01 : x
  2. Step 2: Convert to fraction form
    222,779.22/333,684.78 = 137,129.01/x
  3. Step 3: Cross multiply
    222,779.22x = 333,684.78 × 137,129.01
  4. Step 4: Simplify right side
    222,779.22x = 45,757,863,019.23
  5. Step 5: Solve for x
    x = 45,757,863,019.23/222,779.22
  6. Step 6: Final answer
    x = 205,395.56

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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.