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Finding the Fourth Proportional to 146,094.92, 201,614.13 and 80,683.54

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Solution

The fourth proportional to 146,094.92, 201,614.13 and 80,683.54 is: 111,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,094.92 : 201,614.13 = 80,683.54 : x
  2. Step 2: Convert to fraction form
    146,094.92/201,614.13 = 80,683.54/x
  3. Step 3: Cross multiply
    146,094.92x = 201,614.13 × 80,683.54
  4. Step 4: Simplify right side
    146,094.92x = 16,266,941,218.38
  5. Step 5: Solve for x
    x = 16,266,941,218.38/146,094.92
  6. Step 6: Final answer
    x = 111,345.02

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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.