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Finding the Fourth Proportional to 152,846.80, 229,270.20 and 146,723.20

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Solution

The fourth proportional to 152,846.80, 229,270.20 and 146,723.20 is: 220,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,846.80 : 229,270.20 = 146,723.20 : x
  2. Step 2: Convert to fraction form
    152,846.80/229,270.20 = 146,723.20/x
  3. Step 3: Cross multiply
    152,846.80x = 229,270.20 × 146,723.20
  4. Step 4: Simplify right side
    152,846.80x = 33,639,257,408.64
  5. Step 5: Solve for x
    x = 33,639,257,408.64/152,846.80
  6. Step 6: Final answer
    x = 220,084.80

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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.