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Finding the Fourth Proportional to 141,838.56, 195,723.20 and 84,466.47

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Solution

The fourth proportional to 141,838.56, 195,723.20 and 84,466.47 is: 116,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,838.56 : 195,723.20 = 84,466.47 : x
  2. Step 2: Convert to fraction form
    141,838.56/195,723.20 = 84,466.47/x
  3. Step 3: Cross multiply
    141,838.56x = 195,723.20 × 84,466.47
  4. Step 4: Simplify right side
    141,838.56x = 16,532,047,378.77
  5. Step 5: Solve for x
    x = 16,532,047,378.77/141,838.56
  6. Step 6: Final answer
    x = 116,555.38

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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.