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Finding the Fourth Proportional to 208,380.98, 310,741.26 and 206,486.39

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Solution

The fourth proportional to 208,380.98, 310,741.26 and 206,486.39 is: 307,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,380.98 : 310,741.26 = 206,486.39 : x
  2. Step 2: Convert to fraction form
    208,380.98/310,741.26 = 206,486.39/x
  3. Step 3: Cross multiply
    208,380.98x = 310,741.26 × 206,486.39
  4. Step 4: Simplify right side
    208,380.98x = 64,163,841,001.45
  5. Step 5: Solve for x
    x = 64,163,841,001.45/208,380.98
  6. Step 6: Final answer
    x = 307,916.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.