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Finding the Fourth Proportional to 164,630.53, 246,945.72 and 46,301.86

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Solution

The fourth proportional to 164,630.53, 246,945.72 and 46,301.86 is: 69,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,630.53 : 246,945.72 = 46,301.86 : x
  2. Step 2: Convert to fraction form
    164,630.53/246,945.72 = 46,301.86/x
  3. Step 3: Cross multiply
    164,630.53x = 246,945.72 × 46,301.86
  4. Step 4: Simplify right side
    164,630.53x = 11,434,046,155.04
  5. Step 5: Solve for x
    x = 11,434,046,155.04/164,630.53
  6. Step 6: Final answer
    x = 69,452.77

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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.