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Finding the Fourth Proportional to 199,949.10, 299,923.65 and 52,205.10

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Solution

The fourth proportional to 199,949.10, 299,923.65 and 52,205.10 is: 78,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,949.10 : 299,923.65 = 52,205.10 : x
  2. Step 2: Convert to fraction form
    199,949.10/299,923.65 = 52,205.10/x
  3. Step 3: Cross multiply
    199,949.10x = 299,923.65 × 52,205.10
  4. Step 4: Simplify right side
    199,949.10x = 15,657,544,140.62
  5. Step 5: Solve for x
    x = 15,657,544,140.62/199,949.10
  6. Step 6: Final answer
    x = 78,307.65

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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.