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Finding the Fourth Proportional to 208,592.80, 312,658.80 and 115,165.60

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Solution

The fourth proportional to 208,592.80, 312,658.80 and 115,165.60 is: 172,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,592.80 : 312,658.80 = 115,165.60 : x
  2. Step 2: Convert to fraction form
    208,592.80/312,658.80 = 115,165.60/x
  3. Step 3: Cross multiply
    208,592.80x = 312,658.80 × 115,165.60
  4. Step 4: Simplify right side
    208,592.80x = 36,007,538,297.28
  5. Step 5: Solve for x
    x = 36,007,538,297.28/208,592.80
  6. Step 6: Final answer
    x = 172,621.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.