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Finding the Fourth Proportional to 110,830.14, 152,939.22 and 65,512.26

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Solution

The fourth proportional to 110,830.14, 152,939.22 and 65,512.26 is: 90,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,830.14 : 152,939.22 = 65,512.26 : x
  2. Step 2: Convert to fraction form
    110,830.14/152,939.22 = 65,512.26/x
  3. Step 3: Cross multiply
    110,830.14x = 152,939.22 × 65,512.26
  4. Step 4: Simplify right side
    110,830.14x = 10,019,393,944.84
  5. Step 5: Solve for x
    x = 10,019,393,944.84/110,830.14
  6. Step 6: Final answer
    x = 90,403.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.