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Finding the Fourth Proportional to 208,126.98, 287,216.16 and 112,633.71

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Solution

The fourth proportional to 208,126.98, 287,216.16 and 112,633.71 is: 155,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,126.98 : 287,216.16 = 112,633.71 : x
  2. Step 2: Convert to fraction form
    208,126.98/287,216.16 = 112,633.71/x
  3. Step 3: Cross multiply
    208,126.98x = 287,216.16 × 112,633.71
  4. Step 4: Simplify right side
    208,126.98x = 32,350,221,672.75
  5. Step 5: Solve for x
    x = 32,350,221,672.75/208,126.98
  6. Step 6: Final answer
    x = 155,435.02

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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.