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Finding the Fourth Proportional to 116,537.40, 160,736.40 and 76,186.44

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Solution

The fourth proportional to 116,537.40, 160,736.40 and 76,186.44 is: 105,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,537.40 : 160,736.40 = 76,186.44 : x
  2. Step 2: Convert to fraction form
    116,537.40/160,736.40 = 76,186.44/x
  3. Step 3: Cross multiply
    116,537.40x = 160,736.40 × 76,186.44
  4. Step 4: Simplify right side
    116,537.40x = 12,245,934,094.42
  5. Step 5: Solve for x
    x = 12,245,934,094.42/116,537.40
  6. Step 6: Final answer
    x = 105,081.58

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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.