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Finding the Fourth Proportional to 147,536.80, 221,013.60 and 80,857.60

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Solution

The fourth proportional to 147,536.80, 221,013.60 and 80,857.60 is: 121,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,536.80 : 221,013.60 = 80,857.60 : x
  2. Step 2: Convert to fraction form
    147,536.80/221,013.60 = 80,857.60/x
  3. Step 3: Cross multiply
    147,536.80x = 221,013.60 × 80,857.60
  4. Step 4: Simplify right side
    147,536.80x = 17,870,629,263.36
  5. Step 5: Solve for x
    x = 17,870,629,263.36/147,536.80
  6. Step 6: Final answer
    x = 121,126.59

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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.