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Finding the Fourth Proportional to 101,284.10, 139,771.49 and 55,962.10

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Solution

The fourth proportional to 101,284.10, 139,771.49 and 55,962.10 is: 77,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,284.10 : 139,771.49 = 55,962.10 : x
  2. Step 2: Convert to fraction form
    101,284.10/139,771.49 = 55,962.10/x
  3. Step 3: Cross multiply
    101,284.10x = 139,771.49 × 55,962.10
  4. Step 4: Simplify right side
    101,284.10x = 7,821,905,524.01
  5. Step 5: Solve for x
    x = 7,821,905,524.01/101,284.10
  6. Step 6: Final answer
    x = 77,227.38

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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.