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Finding the Fourth Proportional to 384,101.40, 576,195.30 and 117,859.80

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Solution

The fourth proportional to 384,101.40, 576,195.30 and 117,859.80 is: 176,802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,101.40 : 576,195.30 = 117,859.80 : x
  2. Step 2: Convert to fraction form
    384,101.40/576,195.30 = 117,859.80/x
  3. Step 3: Cross multiply
    384,101.40x = 576,195.30 × 117,859.80
  4. Step 4: Simplify right side
    384,101.40x = 67,910,262,818.94
  5. Step 5: Solve for x
    x = 67,910,262,818.94/384,101.40
  6. Step 6: Final answer
    x = 176,802.96

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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.