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Finding the Fourth Proportional to 307,025.02, 460,150.53 and 164,516.86

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Solution

The fourth proportional to 307,025.02, 460,150.53 and 164,516.86 is: 246,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,025.02 : 460,150.53 = 164,516.86 : x
  2. Step 2: Convert to fraction form
    307,025.02/460,150.53 = 164,516.86/x
  3. Step 3: Cross multiply
    307,025.02x = 460,150.53 × 164,516.86
  4. Step 4: Simplify right side
    307,025.02x = 75,702,520,322.94
  5. Step 5: Solve for x
    x = 75,702,520,322.94/307,025.02
  6. Step 6: Final answer
    x = 246,567.92

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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.