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Finding the Fourth Proportional to 180,602.88, 270,904.44 and 106,241.36

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Solution

The fourth proportional to 180,602.88, 270,904.44 and 106,241.36 is: 159,362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,602.88 : 270,904.44 = 106,241.36 : x
  2. Step 2: Convert to fraction form
    180,602.88/270,904.44 = 106,241.36/x
  3. Step 3: Cross multiply
    180,602.88x = 270,904.44 × 106,241.36
  4. Step 4: Simplify right side
    180,602.88x = 28,781,256,135.64
  5. Step 5: Solve for x
    x = 28,781,256,135.64/180,602.88
  6. Step 6: Final answer
    x = 159,362.11

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1.5x scale

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.