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Finding the Fourth Proportional to 136,549.76, 204,683.90 and 52,286.90

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Solution

The fourth proportional to 136,549.76, 204,683.90 and 52,286.90 is: 78,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,549.76 : 204,683.90 = 52,286.90 : x
  2. Step 2: Convert to fraction form
    136,549.76/204,683.90 = 52,286.90/x
  3. Step 3: Cross multiply
    136,549.76x = 204,683.90 × 52,286.90
  4. Step 4: Simplify right side
    136,549.76x = 10,702,286,610.91
  5. Step 5: Solve for x
    x = 10,702,286,610.91/136,549.76
  6. Step 6: Final answer
    x = 78,376.46

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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.