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Finding the Fourth Proportional to 183,407.40, 274,951.10 and 71,164.20

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Solution

The fourth proportional to 183,407.40, 274,951.10 and 71,164.20 is: 106,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,407.40 : 274,951.10 = 71,164.20 : x
  2. Step 2: Convert to fraction form
    183,407.40/274,951.10 = 71,164.20/x
  3. Step 3: Cross multiply
    183,407.40x = 274,951.10 × 71,164.20
  4. Step 4: Simplify right side
    183,407.40x = 19,566,675,070.62
  5. Step 5: Solve for x
    x = 19,566,675,070.62/183,407.40
  6. Step 6: Final answer
    x = 106,684.22

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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.