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Finding the Fourth Proportional to 254,741.38, 382,110.70 and 65,201.38

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Solution

The fourth proportional to 254,741.38, 382,110.70 and 65,201.38 is: 97,801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,741.38 : 382,110.70 = 65,201.38 : x
  2. Step 2: Convert to fraction form
    254,741.38/382,110.70 = 65,201.38/x
  3. Step 3: Cross multiply
    254,741.38x = 382,110.70 × 65,201.38
  4. Step 4: Simplify right side
    254,741.38x = 24,914,144,952.77
  5. Step 5: Solve for x
    x = 24,914,144,952.77/254,741.38
  6. Step 6: Final answer
    x = 97,801.72

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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.