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Finding the Fourth Proportional to 202,547.70, 303,821.55 and 84,206.70

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Solution

The fourth proportional to 202,547.70, 303,821.55 and 84,206.70 is: 126,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,547.70 : 303,821.55 = 84,206.70 : x
  2. Step 2: Convert to fraction form
    202,547.70/303,821.55 = 84,206.70/x
  3. Step 3: Cross multiply
    202,547.70x = 303,821.55 × 84,206.70
  4. Step 4: Simplify right side
    202,547.70x = 25,583,810,114.39
  5. Step 5: Solve for x
    x = 25,583,810,114.39/202,547.70
  6. Step 6: Final answer
    x = 126,310.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.