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Finding the Fourth Proportional to 151,127.99, 208,556.61 and 83,143.50

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Solution

The fourth proportional to 151,127.99, 208,556.61 and 83,143.50 is: 114,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,127.99 : 208,556.61 = 83,143.50 : x
  2. Step 2: Convert to fraction form
    151,127.99/208,556.61 = 83,143.50/x
  3. Step 3: Cross multiply
    151,127.99x = 208,556.61 × 83,143.50
  4. Step 4: Simplify right side
    151,127.99x = 17,340,126,503.54
  5. Step 5: Solve for x
    x = 17,340,126,503.54/151,127.99
  6. Step 6: Final answer
    x = 114,738.02

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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.