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Finding the Fourth Proportional to 241,194.38, 361,706.76 and 98,998.47

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Solution

The fourth proportional to 241,194.38, 361,706.76 and 98,998.47 is: 148,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,194.38 : 361,706.76 = 98,998.47 : x
  2. Step 2: Convert to fraction form
    241,194.38/361,706.76 = 98,998.47/x
  3. Step 3: Cross multiply
    241,194.38x = 361,706.76 × 98,998.47
  4. Step 4: Simplify right side
    241,194.38x = 35,808,415,828.66
  5. Step 5: Solve for x
    x = 35,808,415,828.66/241,194.38
  6. Step 6: Final answer
    x = 148,462.90

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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.