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Finding the Fourth Proportional to 202,605.06, 303,920.56 and 77,946.06

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Solution

The fourth proportional to 202,605.06, 303,920.56 and 77,946.06 is: 116,924.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,605.06 : 303,920.56 = 77,946.06 : x
  2. Step 2: Convert to fraction form
    202,605.06/303,920.56 = 77,946.06/x
  3. Step 3: Cross multiply
    202,605.06x = 303,920.56 × 77,946.06
  4. Step 4: Simplify right side
    202,605.06x = 23,689,410,204.99
  5. Step 5: Solve for x
    x = 23,689,410,204.99/202,605.06
  6. Step 6: Final answer
    x = 116,924.08

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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.