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Finding the Fourth Proportional to 144,945.86, 217,004.07 and 98,114.90

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Solution

The fourth proportional to 144,945.86, 217,004.07 and 98,114.90 is: 146,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,945.86 : 217,004.07 = 98,114.90 : x
  2. Step 2: Convert to fraction form
    144,945.86/217,004.07 = 98,114.90/x
  3. Step 3: Cross multiply
    144,945.86x = 217,004.07 × 98,114.90
  4. Step 4: Simplify right side
    144,945.86x = 21,291,332,627.64
  5. Step 5: Solve for x
    x = 21,291,332,627.64/144,945.86
  6. Step 6: Final answer
    x = 146,891.62

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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.