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Finding the Fourth Proportional to 208,206.33, 287,324.83 and 112,713.03

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Solution

The fourth proportional to 208,206.33, 287,324.83 and 112,713.03 is: 155,544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,206.33 : 287,324.83 = 112,713.03 : x
  2. Step 2: Convert to fraction form
    208,206.33/287,324.83 = 112,713.03/x
  3. Step 3: Cross multiply
    208,206.33x = 287,324.83 × 112,713.03
  4. Step 4: Simplify right side
    208,206.33x = 32,385,251,068.75
  5. Step 5: Solve for x
    x = 32,385,251,068.75/208,206.33
  6. Step 6: Final answer
    x = 155,544.03

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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.