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Finding the Fourth Proportional to 337,206.80, 505,737.30 and 147,666.80

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Solution

The fourth proportional to 337,206.80, 505,737.30 and 147,666.80 is: 221,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,206.80 : 505,737.30 = 147,666.80 : x
  2. Step 2: Convert to fraction form
    337,206.80/505,737.30 = 147,666.80/x
  3. Step 3: Cross multiply
    337,206.80x = 505,737.30 × 147,666.80
  4. Step 4: Simplify right side
    337,206.80x = 74,680,608,731.64
  5. Step 5: Solve for x
    x = 74,680,608,731.64/337,206.80
  6. Step 6: Final answer
    x = 221,468.28

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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.