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Finding the Fourth Proportional to 208,314.12, 287,474.22 and 112,820.52

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Solution

The fourth proportional to 208,314.12, 287,474.22 and 112,820.52 is: 155,692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,314.12 : 287,474.22 = 112,820.52 : x
  2. Step 2: Convert to fraction form
    208,314.12/287,474.22 = 112,820.52/x
  3. Step 3: Cross multiply
    208,314.12x = 287,474.22 × 112,820.52
  4. Step 4: Simplify right side
    208,314.12x = 32,432,990,986.99
  5. Step 5: Solve for x
    x = 32,432,990,986.99/208,314.12
  6. Step 6: Final answer
    x = 155,692.72

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