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Finding the Fourth Proportional to 180,407.08, 270,578.94 and 55,749.16

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Solution

The fourth proportional to 180,407.08, 270,578.94 and 55,749.16 is: 83,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,407.08 : 270,578.94 = 55,749.16 : x
  2. Step 2: Convert to fraction form
    180,407.08/270,578.94 = 55,749.16/x
  3. Step 3: Cross multiply
    180,407.08x = 270,578.94 × 55,749.16
  4. Step 4: Simplify right side
    180,407.08x = 15,084,548,618.69
  5. Step 5: Solve for x
    x = 15,084,548,618.69/180,407.08
  6. Step 6: Final answer
    x = 83,613.95

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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.