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Finding the Fourth Proportional to 180,288.64, 270,447.54 and 61,960.06

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Solution

The fourth proportional to 180,288.64, 270,447.54 and 61,960.06 is: 92,945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,288.64 : 270,447.54 = 61,960.06 : x
  2. Step 2: Convert to fraction form
    180,288.64/270,447.54 = 61,960.06/x
  3. Step 3: Cross multiply
    180,288.64x = 270,447.54 × 61,960.06
  4. Step 4: Simplify right side
    180,288.64x = 16,756,945,805.25
  5. Step 5: Solve for x
    x = 16,756,945,805.25/180,288.64
  6. Step 6: Final answer
    x = 92,945.10

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1.5x scale

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.