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Finding the Fourth Proportional to 146,945.10, 206,189.70 and 146,945.10

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Solution

The fourth proportional to 146,945.10, 206,189.70 and 146,945.10 is: 206,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,945.10 : 206,189.70 = 146,945.10 : x
  2. Step 2: Convert to fraction form
    146,945.10/206,189.70 = 146,945.10/x
  3. Step 3: Cross multiply
    146,945.10x = 206,189.70 × 146,945.10
  4. Step 4: Simplify right side
    146,945.10x = 30,298,566,085.47
  5. Step 5: Solve for x
    x = 30,298,566,085.47/146,945.10
  6. Step 6: Final answer
    x = 206,189.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.