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Finding the Fourth Proportional to 208,010.70, 287,022.69 and 117,359.55

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Solution

The fourth proportional to 208,010.70, 287,022.69 and 117,359.55 is: 161,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,010.70 : 287,022.69 = 117,359.55 : x
  2. Step 2: Convert to fraction form
    208,010.70/287,022.69 = 117,359.55/x
  3. Step 3: Cross multiply
    208,010.70x = 287,022.69 × 117,359.55
  4. Step 4: Simplify right side
    208,010.70x = 33,684,853,738.19
  5. Step 5: Solve for x
    x = 33,684,853,738.19/208,010.70
  6. Step 6: Final answer
    x = 161,938.08

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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.