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Finding the Fourth Proportional to 118,646.08, 177,969.20 and 35,540

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Solution

The fourth proportional to 118,646.08, 177,969.20 and 35,540 is: 53,310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,646.08 : 177,969.20 = 35,540 : x
  2. Step 2: Convert to fraction form
    118,646.08/177,969.20 = 35,540/x
  3. Step 3: Cross multiply
    118,646.08x = 177,969.20 × 35,540
  4. Step 4: Simplify right side
    118,646.08x = 6,325,025,368
  5. Step 5: Solve for x
    x = 6,325,025,368/118,646.08
  6. Step 6: Final answer
    x = 53,310.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.