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Finding the Fourth Proportional to 199,770, 275,682.60 and 114,885.24

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Solution

The fourth proportional to 199,770, 275,682.60 and 114,885.24 is: 158,541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,770 : 275,682.60 = 114,885.24 : x
  2. Step 2: Convert to fraction form
    199,770/275,682.60 = 114,885.24/x
  3. Step 3: Cross multiply
    199,770x = 275,682.60 × 114,885.24
  4. Step 4: Simplify right side
    199,770x = 31,671,861,664.82
  5. Step 5: Solve for x
    x = 31,671,861,664.82/199,770
  6. Step 6: Final answer
    x = 158,541.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.