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Finding the Fourth Proportional to 277,508.70, 416,080.80 and 108,927.45

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Solution

The fourth proportional to 277,508.70, 416,080.80 and 108,927.45 is: 163,319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,508.70 : 416,080.80 = 108,927.45 : x
  2. Step 2: Convert to fraction form
    277,508.70/416,080.80 = 108,927.45/x
  3. Step 3: Cross multiply
    277,508.70x = 416,080.80 × 108,927.45
  4. Step 4: Simplify right side
    277,508.70x = 45,322,620,537.96
  5. Step 5: Solve for x
    x = 45,322,620,537.96/277,508.70
  6. Step 6: Final answer
    x = 163,319.64

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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.