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Finding the Fourth Proportional to 212,832.14, 319,342.23 and 111,606.03

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Solution

The fourth proportional to 212,832.14, 319,342.23 and 111,606.03 is: 167,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,832.14 : 319,342.23 = 111,606.03 : x
  2. Step 2: Convert to fraction form
    212,832.14/319,342.23 = 111,606.03/x
  3. Step 3: Cross multiply
    212,832.14x = 319,342.23 × 111,606.03
  4. Step 4: Simplify right side
    212,832.14x = 35,640,518,501.65
  5. Step 5: Solve for x
    x = 35,640,518,501.65/212,832.14
  6. Step 6: Final answer
    x = 167,458.35

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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.