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Finding the Fourth Proportional to 180,117.68, 270,206.22 and 55,458.68

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Solution

The fourth proportional to 180,117.68, 270,206.22 and 55,458.68 is: 83,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,117.68 : 270,206.22 = 55,458.68 : x
  2. Step 2: Convert to fraction form
    180,117.68/270,206.22 = 55,458.68/x
  3. Step 3: Cross multiply
    180,117.68x = 270,206.22 × 55,458.68
  4. Step 4: Simplify right side
    180,117.68x = 14,985,280,288.99
  5. Step 5: Solve for x
    x = 14,985,280,288.99/180,117.68
  6. Step 6: Final answer
    x = 83,197.16

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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.