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Finding the Fourth Proportional to 208,076.90, 287,147.12 and 117,436.69

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Solution

The fourth proportional to 208,076.90, 287,147.12 and 117,436.69 is: 162,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,076.90 : 287,147.12 = 117,436.69 : x
  2. Step 2: Convert to fraction form
    208,076.90/287,147.12 = 117,436.69/x
  3. Step 3: Cross multiply
    208,076.90x = 287,147.12 × 117,436.69
  4. Step 4: Simplify right side
    208,076.90x = 33,721,607,315.83
  5. Step 5: Solve for x
    x = 33,721,607,315.83/208,076.90
  6. Step 6: Final answer
    x = 162,063.20

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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.