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Finding the Fourth Proportional to 208,226.04, 287,352.12 and 112,732.80

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Solution

The fourth proportional to 208,226.04, 287,352.12 and 112,732.80 is: 155,571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,226.04 : 287,352.12 = 112,732.80 : x
  2. Step 2: Convert to fraction form
    208,226.04/287,352.12 = 112,732.80/x
  3. Step 3: Cross multiply
    208,226.04x = 287,352.12 × 112,732.80
  4. Step 4: Simplify right side
    208,226.04x = 32,394,009,073.54
  5. Step 5: Solve for x
    x = 32,394,009,073.54/208,226.04
  6. Step 6: Final answer
    x = 155,571.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.