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Finding the Fourth Proportional to 180,408.48, 270,353.88 and 101,356.44

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Solution

The fourth proportional to 180,408.48, 270,353.88 and 101,356.44 is: 151,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,408.48 : 270,353.88 = 101,356.44 : x
  2. Step 2: Convert to fraction form
    180,408.48/270,353.88 = 101,356.44/x
  3. Step 3: Cross multiply
    180,408.48x = 270,353.88 × 101,356.44
  4. Step 4: Simplify right side
    180,408.48x = 27,402,106,816.99
  5. Step 5: Solve for x
    x = 27,402,106,816.99/180,408.48
  6. Step 6: Final answer
    x = 151,889.24

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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.