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Finding the Fourth Proportional to 209,970.36, 289,762.11 and 114,481.89

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Solution

The fourth proportional to 209,970.36, 289,762.11 and 114,481.89 is: 157,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,970.36 : 289,762.11 = 114,481.89 : x
  2. Step 2: Convert to fraction form
    209,970.36/289,762.11 = 114,481.89/x
  3. Step 3: Cross multiply
    209,970.36x = 289,762.11 × 114,481.89
  4. Step 4: Simplify right side
    209,970.36x = 33,172,514,003.19
  5. Step 5: Solve for x
    x = 33,172,514,003.19/209,970.36
  6. Step 6: Final answer
    x = 157,986.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.