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Finding the Fourth Proportional to 146,564.80, 219,847.20 and 130,235.20

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Solution

The fourth proportional to 146,564.80, 219,847.20 and 130,235.20 is: 195,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,564.80 : 219,847.20 = 130,235.20 : x
  2. Step 2: Convert to fraction form
    146,564.80/219,847.20 = 130,235.20/x
  3. Step 3: Cross multiply
    146,564.80x = 219,847.20 × 130,235.20
  4. Step 4: Simplify right side
    146,564.80x = 28,631,844,061.44
  5. Step 5: Solve for x
    x = 28,631,844,061.44/146,564.80
  6. Step 6: Final answer
    x = 195,352.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.