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Finding the Fourth Proportional to 208,927.80, 312,873.30 and 167,455.80

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Solution

The fourth proportional to 208,927.80, 312,873.30 and 167,455.80 is: 250,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,927.80 : 312,873.30 = 167,455.80 : x
  2. Step 2: Convert to fraction form
    208,927.80/312,873.30 = 167,455.80/x
  3. Step 3: Cross multiply
    208,927.80x = 312,873.30 × 167,455.80
  4. Step 4: Simplify right side
    208,927.80x = 52,392,448,750.14
  5. Step 5: Solve for x
    x = 52,392,448,750.14/208,927.80
  6. Step 6: Final answer
    x = 250,768.20

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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.