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Finding the Fourth Proportional to 309,112.89, 463,735.76 and 95,876.34

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Solution

The fourth proportional to 309,112.89, 463,735.76 and 95,876.34 is: 143,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,112.89 : 463,735.76 = 95,876.34 : x
  2. Step 2: Convert to fraction form
    309,112.89/463,735.76 = 95,876.34/x
  3. Step 3: Cross multiply
    309,112.89x = 463,735.76 × 95,876.34
  4. Step 4: Simplify right side
    309,112.89x = 44,461,287,395.92
  5. Step 5: Solve for x
    x = 44,461,287,395.92/309,112.89
  6. Step 6: Final answer
    x = 143,835.11

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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.