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Finding the Fourth Proportional to 277,873.88, 416,468.84 and 158,031.40

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Solution

The fourth proportional to 277,873.88, 416,468.84 and 158,031.40 is: 236,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,873.88 : 416,468.84 = 158,031.40 : x
  2. Step 2: Convert to fraction form
    277,873.88/416,468.84 = 158,031.40/x
  3. Step 3: Cross multiply
    277,873.88x = 416,468.84 × 158,031.40
  4. Step 4: Simplify right side
    277,873.88x = 65,815,153,841.58
  5. Step 5: Solve for x
    x = 65,815,153,841.58/277,873.88
  6. Step 6: Final answer
    x = 236,852.61

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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.