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Finding the Fourth Proportional to 180,084.60, 270,140.57 and 53,714.95

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Solution

The fourth proportional to 180,084.60, 270,140.57 and 53,714.95 is: 80,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,084.60 : 270,140.57 = 53,714.95 : x
  2. Step 2: Convert to fraction form
    180,084.60/270,140.57 = 53,714.95/x
  3. Step 3: Cross multiply
    180,084.60x = 270,140.57 × 53,714.95
  4. Step 4: Simplify right side
    180,084.60x = 14,510,586,468.03
  5. Step 5: Solve for x
    x = 14,510,586,468.03/180,084.60
  6. Step 6: Final answer
    x = 80,576.50

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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.