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Finding the Fourth Proportional to 277,806.51, 416,709.77 and 67,443.03

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Solution

The fourth proportional to 277,806.51, 416,709.77 and 67,443.03 is: 101,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,806.51 : 416,709.77 = 67,443.03 : x
  2. Step 2: Convert to fraction form
    277,806.51/416,709.77 = 67,443.03/x
  3. Step 3: Cross multiply
    277,806.51x = 416,709.77 × 67,443.03
  4. Step 4: Simplify right side
    277,806.51x = 28,104,169,182.19
  5. Step 5: Solve for x
    x = 28,104,169,182.19/277,806.51
  6. Step 6: Final answer
    x = 101,164.55

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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.