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Finding the Fourth Proportional to 309,077.76, 463,683.24 and 95,841.39

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Solution

The fourth proportional to 309,077.76, 463,683.24 and 95,841.39 is: 143,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,077.76 : 463,683.24 = 95,841.39 : x
  2. Step 2: Convert to fraction form
    309,077.76/463,683.24 = 95,841.39/x
  3. Step 3: Cross multiply
    309,077.76x = 463,683.24 × 95,841.39
  4. Step 4: Simplify right side
    309,077.76x = 44,440,046,241.30
  5. Step 5: Solve for x
    x = 44,440,046,241.30/309,077.76
  6. Step 6: Final answer
    x = 143,782.74

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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.