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Finding the Fourth Proportional to 206,278.30, 309,417.66 and 56,519.80

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Solution

The fourth proportional to 206,278.30, 309,417.66 and 56,519.80 is: 84,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,278.30 : 309,417.66 = 56,519.80 : x
  2. Step 2: Convert to fraction form
    206,278.30/309,417.66 = 56,519.80/x
  3. Step 3: Cross multiply
    206,278.30x = 309,417.66 × 56,519.80
  4. Step 4: Simplify right side
    206,278.30x = 17,488,224,259.67
  5. Step 5: Solve for x
    x = 17,488,224,259.67/206,278.30
  6. Step 6: Final answer
    x = 84,779.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.