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Finding the Fourth Proportional to 146,814.30, 205,816.50 and 146,814.30

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Solution

The fourth proportional to 146,814.30, 205,816.50 and 146,814.30 is: 205,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,814.30 : 205,816.50 = 146,814.30 : x
  2. Step 2: Convert to fraction form
    146,814.30/205,816.50 = 146,814.30/x
  3. Step 3: Cross multiply
    146,814.30x = 205,816.50 × 146,814.30
  4. Step 4: Simplify right side
    146,814.30x = 30,216,805,375.95
  5. Step 5: Solve for x
    x = 30,216,805,375.95/146,814.30
  6. Step 6: Final answer
    x = 205,816.50

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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.