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Finding the Fourth Proportional to 382,166.38, 573,250.95 and 115,929.22

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Solution

The fourth proportional to 382,166.38, 573,250.95 and 115,929.22 is: 173,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,166.38 : 573,250.95 = 115,929.22 : x
  2. Step 2: Convert to fraction form
    382,166.38/573,250.95 = 115,929.22/x
  3. Step 3: Cross multiply
    382,166.38x = 573,250.95 × 115,929.22
  4. Step 4: Simplify right side
    382,166.38x = 66,456,535,497.76
  5. Step 5: Solve for x
    x = 66,456,535,497.76/382,166.38
  6. Step 6: Final answer
    x = 173,894.25

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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.