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Finding the Fourth Proportional to 214,693.66, 296,286.51 and 119,200.38

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Solution

The fourth proportional to 214,693.66, 296,286.51 and 119,200.38 is: 164,501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,693.66 : 296,286.51 = 119,200.38 : x
  2. Step 2: Convert to fraction form
    214,693.66/296,286.51 = 119,200.38/x
  3. Step 3: Cross multiply
    214,693.66x = 296,286.51 × 119,200.38
  4. Step 4: Simplify right side
    214,693.66x = 35,317,464,580.87
  5. Step 5: Solve for x
    x = 35,317,464,580.87/214,693.66
  6. Step 6: Final answer
    x = 164,501.67

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Why These Related Problems?

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