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Finding the Fourth Proportional to 208,218.14, 287,309.96 and 117,572.15

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Solution

The fourth proportional to 208,218.14, 287,309.96 and 117,572.15 is: 162,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,218.14 : 287,309.96 = 117,572.15 : x
  2. Step 2: Convert to fraction form
    208,218.14/287,309.96 = 117,572.15/x
  3. Step 3: Cross multiply
    208,218.14x = 287,309.96 × 117,572.15
  4. Step 4: Simplify right side
    208,218.14x = 33,779,649,844.03
  5. Step 5: Solve for x
    x = 33,779,649,844.03/208,218.14
  6. Step 6: Final answer
    x = 162,232.03

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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.