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Finding the Fourth Proportional to 213,606.36, 320,129.25 and 157,182.26

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Solution

The fourth proportional to 213,606.36, 320,129.25 and 157,182.26 is: 235,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,606.36 : 320,129.25 = 157,182.26 : x
  2. Step 2: Convert to fraction form
    213,606.36/320,129.25 = 157,182.26/x
  3. Step 3: Cross multiply
    213,606.36x = 320,129.25 × 157,182.26
  4. Step 4: Simplify right side
    213,606.36x = 50,318,639,807.43
  5. Step 5: Solve for x
    x = 50,318,639,807.43/213,606.36
  6. Step 6: Final answer
    x = 235,567.14

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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.