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Finding the Fourth Proportional to 277,040.45, 415,538.45 and 123,214.06

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Solution

The fourth proportional to 277,040.45, 415,538.45 and 123,214.06 is: 184,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,040.45 : 415,538.45 = 123,214.06 : x
  2. Step 2: Convert to fraction form
    277,040.45/415,538.45 = 123,214.06/x
  3. Step 3: Cross multiply
    277,040.45x = 415,538.45 × 123,214.06
  4. Step 4: Simplify right side
    277,040.45x = 51,200,176,816.84
  5. Step 5: Solve for x
    x = 51,200,176,816.84/277,040.45
  6. Step 6: Final answer
    x = 184,811.20

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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.