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Finding the Fourth Proportional to 206,467.70, 309,701.55 and 183,917.30

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Solution

The fourth proportional to 206,467.70, 309,701.55 and 183,917.30 is: 275,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,467.70 : 309,701.55 = 183,917.30 : x
  2. Step 2: Convert to fraction form
    206,467.70/309,701.55 = 183,917.30/x
  3. Step 3: Cross multiply
    206,467.70x = 309,701.55 × 183,917.30
  4. Step 4: Simplify right side
    206,467.70x = 56,959,472,881.82
  5. Step 5: Solve for x
    x = 56,959,472,881.82/206,467.70
  6. Step 6: Final answer
    x = 275,875.95

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1.5x scale

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.