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Finding the Fourth Proportional to 146,563.80, 205,811.40 and 146,563.80

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Solution

The fourth proportional to 146,563.80, 205,811.40 and 146,563.80 is: 205,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,563.80 : 205,811.40 = 146,563.80 : x
  2. Step 2: Convert to fraction form
    146,563.80/205,811.40 = 146,563.80/x
  3. Step 3: Cross multiply
    146,563.80x = 205,811.40 × 146,563.80
  4. Step 4: Simplify right side
    146,563.80x = 30,164,500,867.32
  5. Step 5: Solve for x
    x = 30,164,500,867.32/146,563.80
  6. Step 6: Final answer
    x = 205,811.40

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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.