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Finding the Fourth Proportional to 277,687.51, 416,466.23 and 78,026.96

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Solution

The fourth proportional to 277,687.51, 416,466.23 and 78,026.96 is: 117,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,687.51 : 416,466.23 = 78,026.96 : x
  2. Step 2: Convert to fraction form
    277,687.51/416,466.23 = 78,026.96/x
  3. Step 3: Cross multiply
    277,687.51x = 416,466.23 × 78,026.96
  4. Step 4: Simplify right side
    277,687.51x = 32,495,594,520.59
  5. Step 5: Solve for x
    x = 32,495,594,520.59/277,687.51
  6. Step 6: Final answer
    x = 117,022.17

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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.