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Finding the Fourth Proportional to 146,546.60, 205,631.80 and 146,546.60

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Solution

The fourth proportional to 146,546.60, 205,631.80 and 146,546.60 is: 205,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,546.60 : 205,631.80 = 146,546.60 : x
  2. Step 2: Convert to fraction form
    146,546.60/205,631.80 = 146,546.60/x
  3. Step 3: Cross multiply
    146,546.60x = 205,631.80 × 146,546.60
  4. Step 4: Simplify right side
    146,546.60x = 30,134,641,141.88
  5. Step 5: Solve for x
    x = 30,134,641,141.88/146,546.60
  6. Step 6: Final answer
    x = 205,631.80

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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.