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Finding the Fourth Proportional to 131,968.80, 197,722.80 and 113,536.80

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Solution

The fourth proportional to 131,968.80, 197,722.80 and 113,536.80 is: 170,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,968.80 : 197,722.80 = 113,536.80 : x
  2. Step 2: Convert to fraction form
    131,968.80/197,722.80 = 113,536.80/x
  3. Step 3: Cross multiply
    131,968.80x = 197,722.80 × 113,536.80
  4. Step 4: Simplify right side
    131,968.80x = 22,448,813,999.04
  5. Step 5: Solve for x
    x = 22,448,813,999.04/131,968.80
  6. Step 6: Final answer
    x = 170,106.98

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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.