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Finding the Fourth Proportional to 127,009, 190,556.16 and 89,097.76

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Solution

The fourth proportional to 127,009, 190,556.16 and 89,097.76 is: 133,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,009 : 190,556.16 = 89,097.76 : x
  2. Step 2: Convert to fraction form
    127,009/190,556.16 = 89,097.76/x
  3. Step 3: Cross multiply
    127,009x = 190,556.16 × 89,097.76
  4. Step 4: Simplify right side
    127,009x = 16,978,127,010.20
  5. Step 5: Solve for x
    x = 16,978,127,010.20/127,009
  6. Step 6: Final answer
    x = 133,676.57

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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.