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Finding the Fourth Proportional to 214,838.84, 322,274.67 and 65,091.54

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Solution

The fourth proportional to 214,838.84, 322,274.67 and 65,091.54 is: 97,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,838.84 : 322,274.67 = 65,091.54 : x
  2. Step 2: Convert to fraction form
    214,838.84/322,274.67 = 65,091.54/x
  3. Step 3: Cross multiply
    214,838.84x = 322,274.67 × 65,091.54
  4. Step 4: Simplify right side
    214,838.84x = 20,977,354,573.29
  5. Step 5: Solve for x
    x = 20,977,354,573.29/214,838.84
  6. Step 6: Final answer
    x = 97,642.28

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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.