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Finding the Fourth Proportional to 146,809.80, 205,810.20 and 146,809.80

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Solution

The fourth proportional to 146,809.80, 205,810.20 and 146,809.80 is: 205,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,809.80 : 205,810.20 = 146,809.80 : x
  2. Step 2: Convert to fraction form
    146,809.80/205,810.20 = 146,809.80/x
  3. Step 3: Cross multiply
    146,809.80x = 205,810.20 × 146,809.80
  4. Step 4: Simplify right side
    146,809.80x = 30,214,954,299.96
  5. Step 5: Solve for x
    x = 30,214,954,299.96/146,809.80
  6. Step 6: Final answer
    x = 205,810.20

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Why These Related Problems?

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