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Finding the Fourth Proportional to 136,180.55, 187,934.51 and 82,435.16

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Solution

The fourth proportional to 136,180.55, 187,934.51 and 82,435.16 is: 113,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,180.55 : 187,934.51 = 82,435.16 : x
  2. Step 2: Convert to fraction form
    136,180.55/187,934.51 = 82,435.16/x
  3. Step 3: Cross multiply
    136,180.55x = 187,934.51 × 82,435.16
  4. Step 4: Simplify right side
    136,180.55x = 15,492,411,401.37
  5. Step 5: Solve for x
    x = 15,492,411,401.37/136,180.55
  6. Step 6: Final answer
    x = 113,763.76

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