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Finding the Fourth Proportional to 277,953.26, 416,893.02 and 78,289.34

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Solution

The fourth proportional to 277,953.26, 416,893.02 and 78,289.34 is: 117,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,953.26 : 416,893.02 = 78,289.34 : x
  2. Step 2: Convert to fraction form
    277,953.26/416,893.02 = 78,289.34/x
  3. Step 3: Cross multiply
    277,953.26x = 416,893.02 × 78,289.34
  4. Step 4: Simplify right side
    277,953.26x = 32,638,279,386.41
  5. Step 5: Solve for x
    x = 32,638,279,386.41/277,953.26
  6. Step 6: Final answer
    x = 117,423.63

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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.