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Finding the Fourth Proportional to 214,751.40, 322,097.68 and 118,865.97

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Solution

The fourth proportional to 214,751.40, 322,097.68 and 118,865.97 is: 178,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,751.40 : 322,097.68 = 118,865.97 : x
  2. Step 2: Convert to fraction form
    214,751.40/322,097.68 = 118,865.97/x
  3. Step 3: Cross multiply
    214,751.40x = 322,097.68 × 118,865.97
  4. Step 4: Simplify right side
    214,751.40x = 38,286,453,316.53
  5. Step 5: Solve for x
    x = 38,286,453,316.53/214,751.40
  6. Step 6: Final answer
    x = 178,282.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.