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Finding the Fourth Proportional to 225,403.49, 338,072.13 and 85,129.31

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Solution

The fourth proportional to 225,403.49, 338,072.13 and 85,129.31 is: 127,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,403.49 : 338,072.13 = 85,129.31 : x
  2. Step 2: Convert to fraction form
    225,403.49/338,072.13 = 85,129.31/x
  3. Step 3: Cross multiply
    225,403.49x = 338,072.13 × 85,129.31
  4. Step 4: Simplify right side
    225,403.49x = 28,779,848,002.31
  5. Step 5: Solve for x
    x = 28,779,848,002.31/225,403.49
  6. Step 6: Final answer
    x = 127,681.46

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