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Finding the Fourth Proportional to 116,193.68, 174,014.04 and 66,842

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Solution

The fourth proportional to 116,193.68, 174,014.04 and 66,842 is: 100,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,193.68 : 174,014.04 = 66,842 : x
  2. Step 2: Convert to fraction form
    116,193.68/174,014.04 = 66,842/x
  3. Step 3: Cross multiply
    116,193.68x = 174,014.04 × 66,842
  4. Step 4: Simplify right side
    116,193.68x = 11,631,446,461.68
  5. Step 5: Solve for x
    x = 11,631,446,461.68/116,193.68
  6. Step 6: Final answer
    x = 100,103.95

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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.