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Finding the Fourth Proportional to 145,456.66, 200,732.70 and 80,930.98

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Solution

The fourth proportional to 145,456.66, 200,732.70 and 80,930.98 is: 111,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,456.66 : 200,732.70 = 80,930.98 : x
  2. Step 2: Convert to fraction form
    145,456.66/200,732.70 = 80,930.98/x
  3. Step 3: Cross multiply
    145,456.66x = 200,732.70 × 80,930.98
  4. Step 4: Simplify right side
    145,456.66x = 16,245,494,129.05
  5. Step 5: Solve for x
    x = 16,245,494,129.05/145,456.66
  6. Step 6: Final answer
    x = 111,686.15

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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.