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Finding the Fourth Proportional to 180,636.80, 270,663.60 and 113,957.60

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Solution

The fourth proportional to 180,636.80, 270,663.60 and 113,957.60 is: 170,752.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,636.80 : 270,663.60 = 113,957.60 : x
  2. Step 2: Convert to fraction form
    180,636.80/270,663.60 = 113,957.60/x
  3. Step 3: Cross multiply
    180,636.80x = 270,663.60 × 113,957.60
  4. Step 4: Simplify right side
    180,636.80x = 30,844,174,263.36
  5. Step 5: Solve for x
    x = 30,844,174,263.36/180,636.80
  6. Step 6: Final answer
    x = 170,752.44

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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.