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Finding the Fourth Proportional to 277,513.17, 416,014.59 and 99,976.77

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Solution

The fourth proportional to 277,513.17, 416,014.59 and 99,976.77 is: 149,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,513.17 : 416,014.59 = 99,976.77 : x
  2. Step 2: Convert to fraction form
    277,513.17/416,014.59 = 99,976.77/x
  3. Step 3: Cross multiply
    277,513.17x = 416,014.59 × 99,976.77
  4. Step 4: Simplify right side
    277,513.17x = 41,591,794,981.07
  5. Step 5: Solve for x
    x = 41,591,794,981.07/277,513.17
  6. Step 6: Final answer
    x = 149,873.23

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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.