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Finding the Fourth Proportional to 208,973.80, 312,942.30 and 167,501.80

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Solution

The fourth proportional to 208,973.80, 312,942.30 and 167,501.80 is: 250,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,973.80 : 312,942.30 = 167,501.80 : x
  2. Step 2: Convert to fraction form
    208,973.80/312,942.30 = 167,501.80/x
  3. Step 3: Cross multiply
    208,973.80x = 312,942.30 × 167,501.80
  4. Step 4: Simplify right side
    208,973.80x = 52,418,398,546.14
  5. Step 5: Solve for x
    x = 52,418,398,546.14/208,973.80
  6. Step 6: Final answer
    x = 250,837.18

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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.