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Finding the Fourth Proportional to 205,553.10, 308,329.65 and 194,148.30

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Solution

The fourth proportional to 205,553.10, 308,329.65 and 194,148.30 is: 291,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,553.10 : 308,329.65 = 194,148.30 : x
  2. Step 2: Convert to fraction form
    205,553.10/308,329.65 = 194,148.30/x
  3. Step 3: Cross multiply
    205,553.10x = 308,329.65 × 194,148.30
  4. Step 4: Simplify right side
    205,553.10x = 59,861,677,387.10
  5. Step 5: Solve for x
    x = 59,861,677,387.10/205,553.10
  6. Step 6: Final answer
    x = 291,222.45

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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.