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Finding the Fourth Proportional to 202,382.66, 303,760.68 and 102,612.50

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Solution

The fourth proportional to 202,382.66, 303,760.68 and 102,612.50 is: 154,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,382.66 : 303,760.68 = 102,612.50 : x
  2. Step 2: Convert to fraction form
    202,382.66/303,760.68 = 102,612.50/x
  3. Step 3: Cross multiply
    202,382.66x = 303,760.68 × 102,612.50
  4. Step 4: Simplify right side
    202,382.66x = 31,169,642,776.50
  5. Step 5: Solve for x
    x = 31,169,642,776.50/202,382.66
  6. Step 6: Final answer
    x = 154,013.41

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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.