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Finding the Fourth Proportional to 208,499.35, 287,725.99 and 117,852.13

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Solution

The fourth proportional to 208,499.35, 287,725.99 and 117,852.13 is: 162,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,499.35 : 287,725.99 = 117,852.13 : x
  2. Step 2: Convert to fraction form
    208,499.35/287,725.99 = 117,852.13/x
  3. Step 3: Cross multiply
    208,499.35x = 287,725.99 × 117,852.13
  4. Step 4: Simplify right side
    208,499.35x = 33,909,121,919.38
  5. Step 5: Solve for x
    x = 33,909,121,919.38/208,499.35
  6. Step 6: Final answer
    x = 162,634.18

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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.