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Finding the Fourth Proportional to 117,980.80, 176,969.02 and 29,234.52

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Solution

The fourth proportional to 117,980.80, 176,969.02 and 29,234.52 is: 43,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,980.80 : 176,969.02 = 29,234.52 : x
  2. Step 2: Convert to fraction form
    117,980.80/176,969.02 = 29,234.52/x
  3. Step 3: Cross multiply
    117,980.80x = 176,969.02 × 29,234.52
  4. Step 4: Simplify right side
    117,980.80x = 5,173,604,354.57
  5. Step 5: Solve for x
    x = 5,173,604,354.57/117,980.80
  6. Step 6: Final answer
    x = 43,851.24

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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.