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Finding the Fourth Proportional to 206,223.30, 309,334.71 and 56,464.74

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Solution

The fourth proportional to 206,223.30, 309,334.71 and 56,464.74 is: 84,697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,223.30 : 309,334.71 = 56,464.74 : x
  2. Step 2: Convert to fraction form
    206,223.30/309,334.71 = 56,464.74/x
  3. Step 3: Cross multiply
    206,223.30x = 309,334.71 × 56,464.74
  4. Step 4: Simplify right side
    206,223.30x = 17,466,503,973.13
  5. Step 5: Solve for x
    x = 17,466,503,973.13/206,223.30
  6. Step 6: Final answer
    x = 84,697.04

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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.