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Finding the Fourth Proportional to 186,701.43, 257,863.14 and 135,941.16

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Solution

The fourth proportional to 186,701.43, 257,863.14 and 135,941.16 is: 187,755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,701.43 : 257,863.14 = 135,941.16 : x
  2. Step 2: Convert to fraction form
    186,701.43/257,863.14 = 135,941.16/x
  3. Step 3: Cross multiply
    186,701.43x = 257,863.14 × 135,941.16
  4. Step 4: Simplify right side
    186,701.43x = 35,054,214,372.84
  5. Step 5: Solve for x
    x = 35,054,214,372.84/186,701.43
  6. Step 6: Final answer
    x = 187,755.47

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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.