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Finding the Fourth Proportional to 188,536.34, 260,181.90 and 103,654

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Solution

The fourth proportional to 188,536.34, 260,181.90 and 103,654 is: 143,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,536.34 : 260,181.90 = 103,654 : x
  2. Step 2: Convert to fraction form
    188,536.34/260,181.90 = 103,654/x
  3. Step 3: Cross multiply
    188,536.34x = 260,181.90 × 103,654
  4. Step 4: Simplify right side
    188,536.34x = 26,968,894,662.60
  5. Step 5: Solve for x
    x = 26,968,894,662.60/188,536.34
  6. Step 6: Final answer
    x = 143,043.48

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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.