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Finding the Fourth Proportional to 129,213.51, 178,349.91 and 83,889.15

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Solution

The fourth proportional to 129,213.51, 178,349.91 and 83,889.15 is: 115,789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,213.51 : 178,349.91 = 83,889.15 : x
  2. Step 2: Convert to fraction form
    129,213.51/178,349.91 = 83,889.15/x
  3. Step 3: Cross multiply
    129,213.51x = 178,349.91 × 83,889.15
  4. Step 4: Simplify right side
    129,213.51x = 14,961,622,352.48
  5. Step 5: Solve for x
    x = 14,961,622,352.48/129,213.51
  6. Step 6: Final answer
    x = 115,789.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.