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Finding the Fourth Proportional to 277,695.26, 416,557.15 and 78,031.21

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Solution

The fourth proportional to 277,695.26, 416,557.15 and 78,031.21 is: 117,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,695.26 : 416,557.15 = 78,031.21 : x
  2. Step 2: Convert to fraction form
    277,695.26/416,557.15 = 78,031.21/x
  3. Step 3: Cross multiply
    277,695.26x = 416,557.15 × 78,031.21
  4. Step 4: Simplify right side
    277,695.26x = 32,504,458,058.50
  5. Step 5: Solve for x
    x = 32,504,458,058.50/277,695.26
  6. Step 6: Final answer
    x = 117,050.82

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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.