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Finding the Fourth Proportional to 277,525.11, 416,453.74 and 119,753.56

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Solution

The fourth proportional to 277,525.11, 416,453.74 and 119,753.56 is: 179,702.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,525.11 : 416,453.74 = 119,753.56 : x
  2. Step 2: Convert to fraction form
    277,525.11/416,453.74 = 119,753.56/x
  3. Step 3: Cross multiply
    277,525.11x = 416,453.74 × 119,753.56
  4. Step 4: Simplify right side
    277,525.11x = 49,871,817,940.31
  5. Step 5: Solve for x
    x = 49,871,817,940.31/277,525.11
  6. Step 6: Final answer
    x = 179,702.00

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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.