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Finding the Fourth Proportional to 127,897.89, 191,864.34 and 43,635.43

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Solution

The fourth proportional to 127,897.89, 191,864.34 and 43,635.43 is: 65,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,897.89 : 191,864.34 = 43,635.43 : x
  2. Step 2: Convert to fraction form
    127,897.89/191,864.34 = 43,635.43/x
  3. Step 3: Cross multiply
    127,897.89x = 191,864.34 × 43,635.43
  4. Step 4: Simplify right side
    127,897.89x = 8,372,082,977.57
  5. Step 5: Solve for x
    x = 8,372,082,977.57/127,897.89
  6. Step 6: Final answer
    x = 65,459.12

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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.