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Finding the Fourth Proportional to 208,078.49, 287,146.27 and 112,583.09

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Solution

The fourth proportional to 208,078.49, 287,146.27 and 112,583.09 is: 155,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,078.49 : 287,146.27 = 112,583.09 : x
  2. Step 2: Convert to fraction form
    208,078.49/287,146.27 = 112,583.09/x
  3. Step 3: Cross multiply
    208,078.49x = 287,146.27 × 112,583.09
  4. Step 4: Simplify right side
    208,078.49x = 32,327,814,358.57
  5. Step 5: Solve for x
    x = 32,327,814,358.57/208,078.49
  6. Step 6: Final answer
    x = 155,363.56

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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.