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Finding the Fourth Proportional to 146,316.90, 201,933.71 and 82,658.80

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Solution

The fourth proportional to 146,316.90, 201,933.71 and 82,658.80 is: 114,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,316.90 : 201,933.71 = 82,658.80 : x
  2. Step 2: Convert to fraction form
    146,316.90/201,933.71 = 82,658.80/x
  3. Step 3: Cross multiply
    146,316.90x = 201,933.71 × 82,658.80
  4. Step 4: Simplify right side
    146,316.90x = 16,691,598,148.15
  5. Step 5: Solve for x
    x = 16,691,598,148.15/146,316.90
  6. Step 6: Final answer
    x = 114,078.40

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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.