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Finding the Fourth Proportional to 117,714.40, 176,830.80 and 82,722.40

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Solution

The fourth proportional to 117,714.40, 176,830.80 and 82,722.40 is: 124,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,714.40 : 176,830.80 = 82,722.40 : x
  2. Step 2: Convert to fraction form
    117,714.40/176,830.80 = 82,722.40/x
  3. Step 3: Cross multiply
    117,714.40x = 176,830.80 × 82,722.40
  4. Step 4: Simplify right side
    117,714.40x = 14,627,868,169.92
  5. Step 5: Solve for x
    x = 14,627,868,169.92/117,714.40
  6. Step 6: Final answer
    x = 124,265.75

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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.