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Finding the Fourth Proportional to 180,321.14, 270,506.31 and 75,115.50

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Solution

The fourth proportional to 180,321.14, 270,506.31 and 75,115.50 is: 112,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,321.14 : 270,506.31 = 75,115.50 : x
  2. Step 2: Convert to fraction form
    180,321.14/270,506.31 = 75,115.50/x
  3. Step 3: Cross multiply
    180,321.14x = 270,506.31 × 75,115.50
  4. Step 4: Simplify right side
    180,321.14x = 20,319,216,728.81
  5. Step 5: Solve for x
    x = 20,319,216,728.81/180,321.14
  6. Step 6: Final answer
    x = 112,683.50

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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.