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Finding the Fourth Proportional to 208,229.80, 312,114.30 and 114,802.60

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Solution

The fourth proportional to 208,229.80, 312,114.30 and 114,802.60 is: 172,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,229.80 : 312,114.30 = 114,802.60 : x
  2. Step 2: Convert to fraction form
    208,229.80/312,114.30 = 114,802.60/x
  3. Step 3: Cross multiply
    208,229.80x = 312,114.30 × 114,802.60
  4. Step 4: Simplify right side
    208,229.80x = 35,831,533,137.18
  5. Step 5: Solve for x
    x = 35,831,533,137.18/208,229.80
  6. Step 6: Final answer
    x = 172,076.87

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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.