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Finding the Fourth Proportional to 406,755.45, 610,164.36 and 136,884.92

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Solution

The fourth proportional to 406,755.45, 610,164.36 and 136,884.92 is: 205,337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,755.45 : 610,164.36 = 136,884.92 : x
  2. Step 2: Convert to fraction form
    406,755.45/610,164.36 = 136,884.92/x
  3. Step 3: Cross multiply
    406,755.45x = 610,164.36 × 136,884.92
  4. Step 4: Simplify right side
    406,755.45x = 83,522,296,554.63
  5. Step 5: Solve for x
    x = 83,522,296,554.63/406,755.45
  6. Step 6: Final answer
    x = 205,337.87

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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.