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Finding the Fourth Proportional to 180,362.40, 270,609.24 and 85,621.56

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Solution

The fourth proportional to 180,362.40, 270,609.24 and 85,621.56 is: 128,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,362.40 : 270,609.24 = 85,621.56 : x
  2. Step 2: Convert to fraction form
    180,362.40/270,609.24 = 85,621.56/x
  3. Step 3: Cross multiply
    180,362.40x = 270,609.24 × 85,621.56
  4. Step 4: Simplify right side
    180,362.40x = 23,169,985,279.21
  5. Step 5: Solve for x
    x = 23,169,985,279.21/180,362.40
  6. Step 6: Final answer
    x = 128,463.50

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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.