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Finding the Fourth Proportional to 307,160.91, 460,710.23 and 82,492.16

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Solution

The fourth proportional to 307,160.91, 460,710.23 and 82,492.16 is: 123,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,160.91 : 460,710.23 = 82,492.16 : x
  2. Step 2: Convert to fraction form
    307,160.91/460,710.23 = 82,492.16/x
  3. Step 3: Cross multiply
    307,160.91x = 460,710.23 × 82,492.16
  4. Step 4: Simplify right side
    307,160.91x = 38,004,979,290.78
  5. Step 5: Solve for x
    x = 38,004,979,290.78/307,160.91
  6. Step 6: Final answer
    x = 123,729.87

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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.