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Finding the Fourth Proportional to 241,841.24, 362,762.70 and 84,071

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Solution

The fourth proportional to 241,841.24, 362,762.70 and 84,071 is: 126,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,841.24 : 362,762.70 = 84,071 : x
  2. Step 2: Convert to fraction form
    241,841.24/362,762.70 = 84,071/x
  3. Step 3: Cross multiply
    241,841.24x = 362,762.70 × 84,071
  4. Step 4: Simplify right side
    241,841.24x = 30,497,822,951.70
  5. Step 5: Solve for x
    x = 30,497,822,951.70/241,841.24
  6. Step 6: Final answer
    x = 126,106.79

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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.