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Finding the Fourth Proportional to 209,975.83, 314,963.98 and 52,204.30

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Solution

The fourth proportional to 209,975.83, 314,963.98 and 52,204.30 is: 78,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,975.83 : 314,963.98 = 52,204.30 : x
  2. Step 2: Convert to fraction form
    209,975.83/314,963.98 = 52,204.30/x
  3. Step 3: Cross multiply
    209,975.83x = 314,963.98 × 52,204.30
  4. Step 4: Simplify right side
    209,975.83x = 16,442,473,183.19
  5. Step 5: Solve for x
    x = 16,442,473,183.19/209,975.83
  6. Step 6: Final answer
    x = 78,306.50

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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.