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Finding the Fourth Proportional to 205,526.20, 308,216.40 and 72,410.80

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Solution

The fourth proportional to 205,526.20, 308,216.40 and 72,410.80 is: 108,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,526.20 : 308,216.40 = 72,410.80 : x
  2. Step 2: Convert to fraction form
    205,526.20/308,216.40 = 72,410.80/x
  3. Step 3: Cross multiply
    205,526.20x = 308,216.40 × 72,410.80
  4. Step 4: Simplify right side
    205,526.20x = 22,318,196,097.12
  5. Step 5: Solve for x
    x = 22,318,196,097.12/205,526.20
  6. Step 6: Final answer
    x = 108,590.52

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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.