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Finding the Fourth Proportional to 117,808.80, 176,713.20 and 71,152.80

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Solution

The fourth proportional to 117,808.80, 176,713.20 and 71,152.80 is: 106,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,808.80 : 176,713.20 = 71,152.80 : x
  2. Step 2: Convert to fraction form
    117,808.80/176,713.20 = 71,152.80/x
  3. Step 3: Cross multiply
    117,808.80x = 176,713.20 × 71,152.80
  4. Step 4: Simplify right side
    117,808.80x = 12,573,638,976.96
  5. Step 5: Solve for x
    x = 12,573,638,976.96/117,808.80
  6. Step 6: Final answer
    x = 106,729.20

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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.