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Finding the Fourth Proportional to 180,117.54, 270,189.81 and 53,747.82

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Solution

The fourth proportional to 180,117.54, 270,189.81 and 53,747.82 is: 80,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,117.54 : 270,189.81 = 53,747.82 : x
  2. Step 2: Convert to fraction form
    180,117.54/270,189.81 = 53,747.82/x
  3. Step 3: Cross multiply
    180,117.54x = 270,189.81 × 53,747.82
  4. Step 4: Simplify right side
    180,117.54x = 14,522,113,273.71
  5. Step 5: Solve for x
    x = 14,522,113,273.71/180,117.54
  6. Step 6: Final answer
    x = 80,625.76

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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.