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Finding the Fourth Proportional to 277,628.70, 416,614.36 and 109,119.42

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Solution

The fourth proportional to 277,628.70, 416,614.36 and 109,119.42 is: 163,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,628.70 : 416,614.36 = 109,119.42 : x
  2. Step 2: Convert to fraction form
    277,628.70/416,614.36 = 109,119.42/x
  3. Step 3: Cross multiply
    277,628.70x = 416,614.36 × 109,119.42
  4. Step 4: Simplify right side
    277,628.70x = 45,460,717,326.87
  5. Step 5: Solve for x
    x = 45,460,717,326.87/277,628.70
  6. Step 6: Final answer
    x = 163,746.46

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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.