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Finding the Fourth Proportional to 180,390.49, 270,509.61 and 54,048.70

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Solution

The fourth proportional to 180,390.49, 270,509.61 and 54,048.70 is: 81,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,390.49 : 270,509.61 = 54,048.70 : x
  2. Step 2: Convert to fraction form
    180,390.49/270,509.61 = 54,048.70/x
  3. Step 3: Cross multiply
    180,390.49x = 270,509.61 × 54,048.70
  4. Step 4: Simplify right side
    180,390.49x = 14,620,692,758.01
  5. Step 5: Solve for x
    x = 14,620,692,758.01/180,390.49
  6. Step 6: Final answer
    x = 81,050.24

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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.