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Finding the Fourth Proportional to 107,374.94, 160,940.88 and 54,673.10

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Solution

The fourth proportional to 107,374.94, 160,940.88 and 54,673.10 is: 81,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,374.94 : 160,940.88 = 54,673.10 : x
  2. Step 2: Convert to fraction form
    107,374.94/160,940.88 = 54,673.10/x
  3. Step 3: Cross multiply
    107,374.94x = 160,940.88 × 54,673.10
  4. Step 4: Simplify right side
    107,374.94x = 8,799,136,021.62
  5. Step 5: Solve for x
    x = 8,799,136,021.62/107,374.94
  6. Step 6: Final answer
    x = 81,947.77

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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.