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Finding the Fourth Proportional to 141,491.92, 195,232.80 and 84,150.40

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Solution

The fourth proportional to 141,491.92, 195,232.80 and 84,150.40 is: 116,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,491.92 : 195,232.80 = 84,150.40 : x
  2. Step 2: Convert to fraction form
    141,491.92/195,232.80 = 84,150.40/x
  3. Step 3: Cross multiply
    141,491.92x = 195,232.80 × 84,150.40
  4. Step 4: Simplify right side
    141,491.92x = 16,428,918,213.12
  5. Step 5: Solve for x
    x = 16,428,918,213.12/141,491.92
  6. Step 6: Final answer
    x = 116,112.06

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Why These Related Problems?

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