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Finding the Fourth Proportional to 307,164.22, 460,785.29 and 120,151.42

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Solution

The fourth proportional to 307,164.22, 460,785.29 and 120,151.42 is: 180,242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,164.22 : 460,785.29 = 120,151.42 : x
  2. Step 2: Convert to fraction form
    307,164.22/460,785.29 = 120,151.42/x
  3. Step 3: Cross multiply
    307,164.22x = 460,785.29 × 120,151.42
  4. Step 4: Simplify right side
    307,164.22x = 55,364,006,908.61
  5. Step 5: Solve for x
    x = 55,364,006,908.61/307,164.22
  6. Step 6: Final answer
    x = 180,242.37

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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.