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Finding the Fourth Proportional to 208,365.74, 312,578.39 and 64,283.75

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Solution

The fourth proportional to 208,365.74, 312,578.39 and 64,283.75 is: 96,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,365.74 : 312,578.39 = 64,283.75 : x
  2. Step 2: Convert to fraction form
    208,365.74/312,578.39 = 64,283.75/x
  3. Step 3: Cross multiply
    208,365.74x = 312,578.39 × 64,283.75
  4. Step 4: Simplify right side
    208,365.74x = 20,093,711,078.16
  5. Step 5: Solve for x
    x = 20,093,711,078.16/208,365.74
  6. Step 6: Final answer
    x = 96,434.81

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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.