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Finding the Fourth Proportional to 208,522.96, 287,760 and 123,680.32

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Solution

The fourth proportional to 208,522.96, 287,760 and 123,680.32 is: 170,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,522.96 : 287,760 = 123,680.32 : x
  2. Step 2: Convert to fraction form
    208,522.96/287,760 = 123,680.32/x
  3. Step 3: Cross multiply
    208,522.96x = 287,760 × 123,680.32
  4. Step 4: Simplify right side
    208,522.96x = 35,590,248,883.20
  5. Step 5: Solve for x
    x = 35,590,248,883.20/208,522.96
  6. Step 6: Final answer
    x = 170,677.84

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Why These Related Problems?

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