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Finding the Fourth Proportional to 180,388.49, 270,506.61 and 54,046.70

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Solution

The fourth proportional to 180,388.49, 270,506.61 and 54,046.70 is: 81,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,388.49 : 270,506.61 = 54,046.70 : x
  2. Step 2: Convert to fraction form
    180,388.49/270,506.61 = 54,046.70/x
  3. Step 3: Cross multiply
    180,388.49x = 270,506.61 × 54,046.70
  4. Step 4: Simplify right side
    180,388.49x = 14,619,989,598.69
  5. Step 5: Solve for x
    x = 14,619,989,598.69/180,388.49
  6. Step 6: Final answer
    x = 81,047.24

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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.