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Finding the Fourth Proportional to 105,642, 145,785.96 and 60,930

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Solution

The fourth proportional to 105,642, 145,785.96 and 60,930 is: 84,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,642 : 145,785.96 = 60,930 : x
  2. Step 2: Convert to fraction form
    105,642/145,785.96 = 60,930/x
  3. Step 3: Cross multiply
    105,642x = 145,785.96 × 60,930
  4. Step 4: Simplify right side
    105,642x = 8,882,738,542.80
  5. Step 5: Solve for x
    x = 8,882,738,542.80/105,642
  6. Step 6: Final answer
    x = 84,083.40

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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.