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Finding the Fourth Proportional to 208,583.60, 287,815.20 and 116,702.32

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Solution

The fourth proportional to 208,583.60, 287,815.20 and 116,702.32 is: 161,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,583.60 : 287,815.20 = 116,702.32 : x
  2. Step 2: Convert to fraction form
    208,583.60/287,815.20 = 116,702.32/x
  3. Step 3: Cross multiply
    208,583.60x = 287,815.20 × 116,702.32
  4. Step 4: Simplify right side
    208,583.60x = 33,588,701,571.26
  5. Step 5: Solve for x
    x = 33,588,701,571.26/208,583.60
  6. Step 6: Final answer
    x = 161,032.32

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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.