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Finding the Fourth Proportional to 208,007.54, 287,034.08 and 117,385.56

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Solution

The fourth proportional to 208,007.54, 287,034.08 and 117,385.56 is: 161,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,007.54 : 287,034.08 = 117,385.56 : x
  2. Step 2: Convert to fraction form
    208,007.54/287,034.08 = 117,385.56/x
  3. Step 3: Cross multiply
    208,007.54x = 287,034.08 × 117,385.56
  4. Step 4: Simplify right side
    208,007.54x = 33,693,656,219.88
  5. Step 5: Solve for x
    x = 33,693,656,219.88/208,007.54
  6. Step 6: Final answer
    x = 161,982.86

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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.