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Finding the Fourth Proportional to 208,142.55, 287,166.54 and 135,512.28

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Solution

The fourth proportional to 208,142.55, 287,166.54 and 135,512.28 is: 186,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142.55 : 287,166.54 = 135,512.28 : x
  2. Step 2: Convert to fraction form
    208,142.55/287,166.54 = 135,512.28/x
  3. Step 3: Cross multiply
    208,142.55x = 287,166.54 × 135,512.28
  4. Step 4: Simplify right side
    208,142.55x = 38,914,592,575.11
  5. Step 5: Solve for x
    x = 38,914,592,575.11/208,142.55
  6. Step 6: Final answer
    x = 186,961.26

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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.