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Finding the Fourth Proportional to 209,097, 313,645.74 and 57,295.36

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Solution

The fourth proportional to 209,097, 313,645.74 and 57,295.36 is: 85,943.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,097 : 313,645.74 = 57,295.36 : x
  2. Step 2: Convert to fraction form
    209,097/313,645.74 = 57,295.36/x
  3. Step 3: Cross multiply
    209,097x = 313,645.74 × 57,295.36
  4. Step 4: Simplify right side
    209,097x = 17,970,445,585.77
  5. Step 5: Solve for x
    x = 17,970,445,585.77/209,097
  6. Step 6: Final answer
    x = 85,943.11

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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.