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Finding the Fourth Proportional to 127,055, 190,582.50 and 53,183

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Solution

The fourth proportional to 127,055, 190,582.50 and 53,183 is: 79,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,055 : 190,582.50 = 53,183 : x
  2. Step 2: Convert to fraction form
    127,055/190,582.50 = 53,183/x
  3. Step 3: Cross multiply
    127,055x = 190,582.50 × 53,183
  4. Step 4: Simplify right side
    127,055x = 10,135,749,097.50
  5. Step 5: Solve for x
    x = 10,135,749,097.50/127,055
  6. Step 6: Final answer
    x = 79,774.50

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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.