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Finding the Fourth Proportional to 214,301.70, 295,735.86 and 118,805.94

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Solution

The fourth proportional to 214,301.70, 295,735.86 and 118,805.94 is: 163,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,301.70 : 295,735.86 = 118,805.94 : x
  2. Step 2: Convert to fraction form
    214,301.70/295,735.86 = 118,805.94/x
  3. Step 3: Cross multiply
    214,301.70x = 295,735.86 × 118,805.94
  4. Step 4: Simplify right side
    214,301.70x = 35,135,176,839.01
  5. Step 5: Solve for x
    x = 35,135,176,839.01/214,301.70
  6. Step 6: Final answer
    x = 163,951.93

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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.