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Finding the Fourth Proportional to 202,572.94, 303,088.44 and 122,315.50

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Solution

The fourth proportional to 202,572.94, 303,088.44 and 122,315.50 is: 183,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,572.94 : 303,088.44 = 122,315.50 : x
  2. Step 2: Convert to fraction form
    202,572.94/303,088.44 = 122,315.50/x
  3. Step 3: Cross multiply
    202,572.94x = 303,088.44 × 122,315.50
  4. Step 4: Simplify right side
    202,572.94x = 37,072,414,082.82
  5. Step 5: Solve for x
    x = 37,072,414,082.82/202,572.94
  6. Step 6: Final answer
    x = 183,007.73

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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.