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Finding the Fourth Proportional to 180,477.58, 270,982.48 and 100,671.47

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Solution

The fourth proportional to 180,477.58, 270,982.48 and 100,671.47 is: 151,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,477.58 : 270,982.48 = 100,671.47 : x
  2. Step 2: Convert to fraction form
    180,477.58/270,982.48 = 100,671.47/x
  3. Step 3: Cross multiply
    180,477.58x = 270,982.48 × 100,671.47
  4. Step 4: Simplify right side
    180,477.58x = 27,280,203,425.03
  5. Step 5: Solve for x
    x = 27,280,203,425.03/180,477.58
  6. Step 6: Final answer
    x = 151,155.64

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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.