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Finding the Fourth Proportional to 206,829.10, 310,316.55 and 199,539.10

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Solution

The fourth proportional to 206,829.10, 310,316.55 and 199,539.10 is: 299,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,829.10 : 310,316.55 = 199,539.10 : x
  2. Step 2: Convert to fraction form
    206,829.10/310,316.55 = 199,539.10/x
  3. Step 3: Cross multiply
    206,829.10x = 310,316.55 × 199,539.10
  4. Step 4: Simplify right side
    206,829.10x = 61,920,285,102.11
  5. Step 5: Solve for x
    x = 61,920,285,102.11/206,829.10
  6. Step 6: Final answer
    x = 299,378.98

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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.