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Finding the Fourth Proportional to 208,363.68, 287,524.80 and 117,727.50

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Solution

The fourth proportional to 208,363.68, 287,524.80 and 117,727.50 is: 162,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,363.68 : 287,524.80 = 117,727.50 : x
  2. Step 2: Convert to fraction form
    208,363.68/287,524.80 = 117,727.50/x
  3. Step 3: Cross multiply
    208,363.68x = 287,524.80 × 117,727.50
  4. Step 4: Simplify right side
    208,363.68x = 33,849,575,892
  5. Step 5: Solve for x
    x = 33,849,575,892/208,363.68
  6. Step 6: Final answer
    x = 162,454.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.