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Finding the Fourth Proportional to 208,226.94, 287,352.78 and 112,733.62

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Solution

The fourth proportional to 208,226.94, 287,352.78 and 112,733.62 is: 155,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,226.94 : 287,352.78 = 112,733.62 : x
  2. Step 2: Convert to fraction form
    208,226.94/287,352.78 = 112,733.62/x
  3. Step 3: Cross multiply
    208,226.94x = 287,352.78 × 112,733.62
  4. Step 4: Simplify right side
    208,226.94x = 32,394,319,106.46
  5. Step 5: Solve for x
    x = 32,394,319,106.46/208,226.94
  6. Step 6: Final answer
    x = 155,572.18

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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.