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Finding the Fourth Proportional to 206,277.30, 309,416.16 and 56,518.80

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Solution

The fourth proportional to 206,277.30, 309,416.16 and 56,518.80 is: 84,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,277.30 : 309,416.16 = 56,518.80 : x
  2. Step 2: Convert to fraction form
    206,277.30/309,416.16 = 56,518.80/x
  3. Step 3: Cross multiply
    206,277.30x = 309,416.16 × 56,518.80
  4. Step 4: Simplify right side
    206,277.30x = 17,487,830,063.81
  5. Step 5: Solve for x
    x = 17,487,830,063.81/206,277.30
  6. Step 6: Final answer
    x = 84,778.26

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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.