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Finding the Fourth Proportional to 277,504.80, 416,184.27 and 119,698.17

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Solution

The fourth proportional to 277,504.80, 416,184.27 and 119,698.17 is: 179,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,504.80 : 416,184.27 = 119,698.17 : x
  2. Step 2: Convert to fraction form
    277,504.80/416,184.27 = 119,698.17/x
  3. Step 3: Cross multiply
    277,504.80x = 416,184.27 × 119,698.17
  4. Step 4: Simplify right side
    277,504.80x = 49,816,495,501.79
  5. Step 5: Solve for x
    x = 49,816,495,501.79/277,504.80
  6. Step 6: Final answer
    x = 179,515.80

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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.