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Finding the Fourth Proportional to 277,704.79, 416,242.26 and 127,635.01

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Solution

The fourth proportional to 277,704.79, 416,242.26 and 127,635.01 is: 191,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,704.79 : 416,242.26 = 127,635.01 : x
  2. Step 2: Convert to fraction form
    277,704.79/416,242.26 = 127,635.01/x
  3. Step 3: Cross multiply
    277,704.79x = 416,242.26 × 127,635.01
  4. Step 4: Simplify right side
    277,704.79x = 53,127,083,976.92
  5. Step 5: Solve for x
    x = 53,127,083,976.92/277,704.79
  6. Step 6: Final answer
    x = 191,307.77

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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.