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Finding the Fourth Proportional to 112,786.09, 155,634.46 and 65,030.22

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Solution

The fourth proportional to 112,786.09, 155,634.46 and 65,030.22 is: 89,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,786.09 : 155,634.46 = 65,030.22 : x
  2. Step 2: Convert to fraction form
    112,786.09/155,634.46 = 65,030.22/x
  3. Step 3: Cross multiply
    112,786.09x = 155,634.46 × 65,030.22
  4. Step 4: Simplify right side
    112,786.09x = 10,120,943,173.38
  5. Step 5: Solve for x
    x = 10,120,943,173.38/112,786.09
  6. Step 6: Final answer
    x = 89,735.74

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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.