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Finding the Fourth Proportional to 146,279.80, 205,068.20 and 146,279.80

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Solution

The fourth proportional to 146,279.80, 205,068.20 and 146,279.80 is: 205,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,279.80 : 205,068.20 = 146,279.80 : x
  2. Step 2: Convert to fraction form
    146,279.80/205,068.20 = 146,279.80/x
  3. Step 3: Cross multiply
    146,279.80x = 205,068.20 × 146,279.80
  4. Step 4: Simplify right side
    146,279.80x = 29,997,335,282.36
  5. Step 5: Solve for x
    x = 29,997,335,282.36/146,279.80
  6. Step 6: Final answer
    x = 205,068.20

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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.