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Finding the Fourth Proportional to 208,906.60, 313,411.74 and 97,969

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Solution

The fourth proportional to 208,906.60, 313,411.74 and 97,969 is: 146,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,906.60 : 313,411.74 = 97,969 : x
  2. Step 2: Convert to fraction form
    208,906.60/313,411.74 = 97,969/x
  3. Step 3: Cross multiply
    208,906.60x = 313,411.74 × 97,969
  4. Step 4: Simplify right side
    208,906.60x = 30,704,634,756.06
  5. Step 5: Solve for x
    x = 30,704,634,756.06/208,906.60
  6. Step 6: Final answer
    x = 146,977.81

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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.