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Finding the Fourth Proportional to 118,616.36, 177,984.88 and 52,039.22

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Solution

The fourth proportional to 118,616.36, 177,984.88 and 52,039.22 is: 78,085.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,616.36 : 177,984.88 = 52,039.22 : x
  2. Step 2: Convert to fraction form
    118,616.36/177,984.88 = 52,039.22/x
  3. Step 3: Cross multiply
    118,616.36x = 177,984.88 × 52,039.22
  4. Step 4: Simplify right side
    118,616.36x = 9,262,194,326.99
  5. Step 5: Solve for x
    x = 9,262,194,326.99/118,616.36
  6. Step 6: Final answer
    x = 78,085.30

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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.