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Finding the Fourth Proportional to 241,557.80, 361,899.30 and 206,565.80

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Solution

The fourth proportional to 241,557.80, 361,899.30 and 206,565.80 is: 309,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,557.80 : 361,899.30 = 206,565.80 : x
  2. Step 2: Convert to fraction form
    241,557.80/361,899.30 = 206,565.80/x
  3. Step 3: Cross multiply
    241,557.80x = 361,899.30 × 206,565.80
  4. Step 4: Simplify right side
    241,557.80x = 74,756,018,423.94
  5. Step 5: Solve for x
    x = 74,756,018,423.94/241,557.80
  6. Step 6: Final answer
    x = 309,474.66

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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.