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Finding the Fourth Proportional to 208,205.40, 287,320.05 and 112,711.26

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Solution

The fourth proportional to 208,205.40, 287,320.05 and 112,711.26 is: 155,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,205.40 : 287,320.05 = 112,711.26 : x
  2. Step 2: Convert to fraction form
    208,205.40/287,320.05 = 112,711.26/x
  3. Step 3: Cross multiply
    208,205.40x = 287,320.05 × 112,711.26
  4. Step 4: Simplify right side
    208,205.40x = 32,384,204,858.76
  5. Step 5: Solve for x
    x = 32,384,204,858.76/208,205.40
  6. Step 6: Final answer
    x = 155,539.70

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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.