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Finding the Fourth Proportional to 218,232.36, 301,176.42 and 133,365.64

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Solution

The fourth proportional to 218,232.36, 301,176.42 and 133,365.64 is: 184,054.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,232.36 : 301,176.42 = 133,365.64 : x
  2. Step 2: Convert to fraction form
    218,232.36/301,176.42 = 133,365.64/x
  3. Step 3: Cross multiply
    218,232.36x = 301,176.42 × 133,365.64
  4. Step 4: Simplify right side
    218,232.36x = 40,166,586,006.21
  5. Step 5: Solve for x
    x = 40,166,586,006.21/218,232.36
  6. Step 6: Final answer
    x = 184,054.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.