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Finding the Fourth Proportional to 208,115.20, 312,172.80 and 205,004.80

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Solution

The fourth proportional to 208,115.20, 312,172.80 and 205,004.80 is: 307,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,115.20 : 312,172.80 = 205,004.80 : x
  2. Step 2: Convert to fraction form
    208,115.20/312,172.80 = 205,004.80/x
  3. Step 3: Cross multiply
    208,115.20x = 312,172.80 × 205,004.80
  4. Step 4: Simplify right side
    208,115.20x = 63,996,922,429.44
  5. Step 5: Solve for x
    x = 63,996,922,429.44/208,115.20
  6. Step 6: Final answer
    x = 307,507.20

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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.