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Finding the Fourth Proportional to 135,563.34, 187,032.60 and 81,827.94

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Solution

The fourth proportional to 135,563.34, 187,032.60 and 81,827.94 is: 112,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,563.34 : 187,032.60 = 81,827.94 : x
  2. Step 2: Convert to fraction form
    135,563.34/187,032.60 = 81,827.94/x
  3. Step 3: Cross multiply
    135,563.34x = 187,032.60 × 81,827.94
  4. Step 4: Simplify right side
    135,563.34x = 15,304,492,370.84
  5. Step 5: Solve for x
    x = 15,304,492,370.84/135,563.34
  6. Step 6: Final answer
    x = 112,895.51

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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.