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Finding the Fourth Proportional to 277,538.99, 416,309.56 and 67,176.59

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Solution

The fourth proportional to 277,538.99, 416,309.56 and 67,176.59 is: 100,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,538.99 : 416,309.56 = 67,176.59 : x
  2. Step 2: Convert to fraction form
    277,538.99/416,309.56 = 67,176.59/x
  3. Step 3: Cross multiply
    277,538.99x = 416,309.56 × 67,176.59
  4. Step 4: Simplify right side
    277,538.99x = 27,966,254,375.71
  5. Step 5: Solve for x
    x = 27,966,254,375.71/277,538.99
  6. Step 6: Final answer
    x = 100,765.14

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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.