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Finding the Fourth Proportional to 208,810.56, 312,938.64 and 113,796.96

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Solution

The fourth proportional to 208,810.56, 312,938.64 and 113,796.96 is: 170,544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,810.56 : 312,938.64 = 113,796.96 : x
  2. Step 2: Convert to fraction form
    208,810.56/312,938.64 = 113,796.96/x
  3. Step 3: Cross multiply
    208,810.56x = 312,938.64 × 113,796.96
  4. Step 4: Simplify right side
    208,810.56x = 35,611,465,898.53
  5. Step 5: Solve for x
    x = 35,611,465,898.53/208,810.56
  6. Step 6: Final answer
    x = 170,544.37

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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.