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Finding the Fourth Proportional to 411,116.88, 616,741.86 and 126,740.94

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Solution

The fourth proportional to 411,116.88, 616,741.86 and 126,740.94 is: 190,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,116.88 : 616,741.86 = 126,740.94 : x
  2. Step 2: Convert to fraction form
    411,116.88/616,741.86 = 126,740.94/x
  3. Step 3: Cross multiply
    411,116.88x = 616,741.86 × 126,740.94
  4. Step 4: Simplify right side
    411,116.88x = 78,166,443,073.75
  5. Step 5: Solve for x
    x = 78,166,443,073.75/411,116.88
  6. Step 6: Final answer
    x = 190,131.92

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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.