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Finding the Fourth Proportional to 208,327.44, 287,497.76 and 117,687.23

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Solution

The fourth proportional to 208,327.44, 287,497.76 and 117,687.23 is: 162,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,327.44 : 287,497.76 = 117,687.23 : x
  2. Step 2: Convert to fraction form
    208,327.44/287,497.76 = 117,687.23/x
  3. Step 3: Cross multiply
    208,327.44x = 287,497.76 × 117,687.23
  4. Step 4: Simplify right side
    208,327.44x = 33,834,814,057.80
  5. Step 5: Solve for x
    x = 33,834,814,057.80/208,327.44
  6. Step 6: Final answer
    x = 162,411.70

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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.