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Finding the Fourth Proportional to 116,544.69, 174,842.64 and 69,203.03

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Solution

The fourth proportional to 116,544.69, 174,842.64 and 69,203.03 is: 103,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,544.69 : 174,842.64 = 69,203.03 : x
  2. Step 2: Convert to fraction form
    116,544.69/174,842.64 = 69,203.03/x
  3. Step 3: Cross multiply
    116,544.69x = 174,842.64 × 69,203.03
  4. Step 4: Simplify right side
    116,544.69x = 12,099,639,586.99
  5. Step 5: Solve for x
    x = 12,099,639,586.99/116,544.69
  6. Step 6: Final answer
    x = 103,819.74

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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.