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Finding the Fourth Proportional to 208,380.96, 287,563.12 and 112,885.28

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Solution

The fourth proportional to 208,380.96, 287,563.12 and 112,885.28 is: 155,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,380.96 : 287,563.12 = 112,885.28 : x
  2. Step 2: Convert to fraction form
    208,380.96/287,563.12 = 112,885.28/x
  3. Step 3: Cross multiply
    208,380.96x = 287,563.12 × 112,885.28
  4. Step 4: Simplify right side
    208,380.96x = 32,461,643,318.87
  5. Step 5: Solve for x
    x = 32,461,643,318.87/208,380.96
  6. Step 6: Final answer
    x = 155,780.28

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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.