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Finding the Fourth Proportional to 202,564.40, 303,846.60 and 146,577.20

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Solution

The fourth proportional to 202,564.40, 303,846.60 and 146,577.20 is: 219,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,564.40 : 303,846.60 = 146,577.20 : x
  2. Step 2: Convert to fraction form
    202,564.40/303,846.60 = 146,577.20/x
  3. Step 3: Cross multiply
    202,564.40x = 303,846.60 × 146,577.20
  4. Step 4: Simplify right side
    202,564.40x = 44,536,983,857.52
  5. Step 5: Solve for x
    x = 44,536,983,857.52/202,564.40
  6. Step 6: Final answer
    x = 219,865.80

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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.