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Finding the Fourth Proportional to 214,019.41, 295,356.36 and 117,230.08

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Solution

The fourth proportional to 214,019.41, 295,356.36 and 117,230.08 is: 161,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,019.41 : 295,356.36 = 117,230.08 : x
  2. Step 2: Convert to fraction form
    214,019.41/295,356.36 = 117,230.08/x
  3. Step 3: Cross multiply
    214,019.41x = 295,356.36 × 117,230.08
  4. Step 4: Simplify right side
    214,019.41x = 34,624,649,711.31
  5. Step 5: Solve for x
    x = 34,624,649,711.31/214,019.41
  6. Step 6: Final answer
    x = 161,782.75

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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.