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Finding the Fourth Proportional to 277,676.01, 416,530.16 and 78,011.96

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Solution

The fourth proportional to 277,676.01, 416,530.16 and 78,011.96 is: 117,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,676.01 : 416,530.16 = 78,011.96 : x
  2. Step 2: Convert to fraction form
    277,676.01/416,530.16 = 78,011.96/x
  3. Step 3: Cross multiply
    277,676.01x = 416,530.16 × 78,011.96
  4. Step 4: Simplify right side
    277,676.01x = 32,494,331,708.00
  5. Step 5: Solve for x
    x = 32,494,331,708.00/277,676.01
  6. Step 6: Final answer
    x = 117,022.47

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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.