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Finding the Fourth Proportional to 277,501.14, 416,254.14 and 67,139.28

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Solution

The fourth proportional to 277,501.14, 416,254.14 and 67,139.28 is: 100,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,501.14 : 416,254.14 = 67,139.28 : x
  2. Step 2: Convert to fraction form
    277,501.14/416,254.14 = 67,139.28/x
  3. Step 3: Cross multiply
    277,501.14x = 416,254.14 × 67,139.28
  4. Step 4: Simplify right side
    277,501.14x = 27,947,003,256.62
  5. Step 5: Solve for x
    x = 27,947,003,256.62/277,501.14
  6. Step 6: Final answer
    x = 100,709.51

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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.