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Finding the Fourth Proportional to 208,052.88, 287,112 and 112,559.76

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Solution

The fourth proportional to 208,052.88, 287,112 and 112,559.76 is: 155,331.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,052.88 : 287,112 = 112,559.76 : x
  2. Step 2: Convert to fraction form
    208,052.88/287,112 = 112,559.76/x
  3. Step 3: Cross multiply
    208,052.88x = 287,112 × 112,559.76
  4. Step 4: Simplify right side
    208,052.88x = 32,317,257,813.12
  5. Step 5: Solve for x
    x = 32,317,257,813.12/208,052.88
  6. Step 6: Final answer
    x = 155,331.94

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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.