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Finding the Fourth Proportional to 133,083.90, 199,625.85 and 127,835.10

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Solution

The fourth proportional to 133,083.90, 199,625.85 and 127,835.10 is: 191,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,083.90 : 199,625.85 = 127,835.10 : x
  2. Step 2: Convert to fraction form
    133,083.90/199,625.85 = 127,835.10/x
  3. Step 3: Cross multiply
    133,083.90x = 199,625.85 × 127,835.10
  4. Step 4: Simplify right side
    133,083.90x = 25,519,190,497.34
  5. Step 5: Solve for x
    x = 25,519,190,497.34/133,083.90
  6. Step 6: Final answer
    x = 191,752.65

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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.