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Finding the Fourth Proportional to 108,181.58, 149,290.20 and 59,782.16

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Solution

The fourth proportional to 108,181.58, 149,290.20 and 59,782.16 is: 82,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,181.58 : 149,290.20 = 59,782.16 : x
  2. Step 2: Convert to fraction form
    108,181.58/149,290.20 = 59,782.16/x
  3. Step 3: Cross multiply
    108,181.58x = 149,290.20 × 59,782.16
  4. Step 4: Simplify right side
    108,181.58x = 8,924,889,876.38
  5. Step 5: Solve for x
    x = 8,924,889,876.38/108,181.58
  6. Step 6: Final answer
    x = 82,499.16

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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.