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Finding the Fourth Proportional to 234,196.29, 351,254.48 and 84,406.77

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Solution

The fourth proportional to 234,196.29, 351,254.48 and 84,406.77 is: 126,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,196.29 : 351,254.48 = 84,406.77 : x
  2. Step 2: Convert to fraction form
    234,196.29/351,254.48 = 84,406.77/x
  3. Step 3: Cross multiply
    234,196.29x = 351,254.48 × 84,406.77
  4. Step 4: Simplify right side
    234,196.29x = 29,648,255,682.80
  5. Step 5: Solve for x
    x = 29,648,255,682.80/234,196.29
  6. Step 6: Final answer
    x = 126,595.75

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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.