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Finding the Fourth Proportional to 208,271.58, 287,414.37 and 112,777.98

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Solution

The fourth proportional to 208,271.58, 287,414.37 and 112,777.98 is: 155,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,271.58 : 287,414.37 = 112,777.98 : x
  2. Step 2: Convert to fraction form
    208,271.58/287,414.37 = 112,777.98/x
  3. Step 3: Cross multiply
    208,271.58x = 287,414.37 × 112,777.98
  4. Step 4: Simplify right side
    208,271.58x = 32,414,012,071.57
  5. Step 5: Solve for x
    x = 32,414,012,071.57/208,271.58
  6. Step 6: Final answer
    x = 155,633.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.