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Finding the Fourth Proportional to 208,203.73, 287,805.36 and 185,765.11

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Solution

The fourth proportional to 208,203.73, 287,805.36 and 185,765.11 is: 256,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,203.73 : 287,805.36 = 185,765.11 : x
  2. Step 2: Convert to fraction form
    208,203.73/287,805.36 = 185,765.11/x
  3. Step 3: Cross multiply
    208,203.73x = 287,805.36 × 185,765.11
  4. Step 4: Simplify right side
    208,203.73x = 53,464,194,358.99
  5. Step 5: Solve for x
    x = 53,464,194,358.99/208,203.73
  6. Step 6: Final answer
    x = 256,787.88

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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.