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Finding the Fourth Proportional to 101,283.76, 139,764.40 and 55,961.25

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Solution

The fourth proportional to 101,283.76, 139,764.40 and 55,961.25 is: 77,222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,283.76 : 139,764.40 = 55,961.25 : x
  2. Step 2: Convert to fraction form
    101,283.76/139,764.40 = 55,961.25/x
  3. Step 3: Cross multiply
    101,283.76x = 139,764.40 × 55,961.25
  4. Step 4: Simplify right side
    101,283.76x = 7,821,390,529.50
  5. Step 5: Solve for x
    x = 7,821,390,529.50/101,283.76
  6. Step 6: Final answer
    x = 77,222.55

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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.