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Finding the Fourth Proportional to 205,428.30, 308,142.45 and 72,458.70

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Solution

The fourth proportional to 205,428.30, 308,142.45 and 72,458.70 is: 108,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,428.30 : 308,142.45 = 72,458.70 : x
  2. Step 2: Convert to fraction form
    205,428.30/308,142.45 = 72,458.70/x
  3. Step 3: Cross multiply
    205,428.30x = 308,142.45 × 72,458.70
  4. Step 4: Simplify right side
    205,428.30x = 22,327,601,341.82
  5. Step 5: Solve for x
    x = 22,327,601,341.82/205,428.30
  6. Step 6: Final answer
    x = 108,688.05

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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.