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Finding the Fourth Proportional to 277,506.23, 416,004.19 and 99,969.82

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Solution

The fourth proportional to 277,506.23, 416,004.19 and 99,969.82 is: 149,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,506.23 : 416,004.19 = 99,969.82 : x
  2. Step 2: Convert to fraction form
    277,506.23/416,004.19 = 99,969.82/x
  3. Step 3: Cross multiply
    277,506.23x = 416,004.19 × 99,969.82
  4. Step 4: Simplify right side
    277,506.23x = 41,587,862,703.61
  5. Step 5: Solve for x
    x = 41,587,862,703.61/277,506.23
  6. Step 6: Final answer
    x = 149,862.81

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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.