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Finding the Fourth Proportional to 117,796.80, 176,695.20 and 71,140.80

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Solution

The fourth proportional to 117,796.80, 176,695.20 and 71,140.80 is: 106,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,796.80 : 176,695.20 = 71,140.80 : x
  2. Step 2: Convert to fraction form
    117,796.80/176,695.20 = 71,140.80/x
  3. Step 3: Cross multiply
    117,796.80x = 176,695.20 × 71,140.80
  4. Step 4: Simplify right side
    117,796.80x = 12,570,237,884.16
  5. Step 5: Solve for x
    x = 12,570,237,884.16/117,796.80
  6. Step 6: Final answer
    x = 106,711.20

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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.