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Finding the Fourth Proportional to 277,677.01, 416,531.65 and 78,012.96

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Solution

The fourth proportional to 277,677.01, 416,531.65 and 78,012.96 is: 117,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,677.01 : 416,531.65 = 78,012.96 : x
  2. Step 2: Convert to fraction form
    277,677.01/416,531.65 = 78,012.96/x
  3. Step 3: Cross multiply
    277,677.01x = 416,531.65 × 78,012.96
  4. Step 4: Simplify right side
    277,677.01x = 32,494,866,950.18
  5. Step 5: Solve for x
    x = 32,494,866,950.18/277,677.01
  6. Step 6: Final answer
    x = 117,023.97

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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.