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Finding the Fourth Proportional to 202,578.04, 303,659.68 and 102,552.76

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Solution

The fourth proportional to 202,578.04, 303,659.68 and 102,552.76 is: 153,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,578.04 : 303,659.68 = 102,552.76 : x
  2. Step 2: Convert to fraction form
    202,578.04/303,659.68 = 102,552.76/x
  3. Step 3: Cross multiply
    202,578.04x = 303,659.68 × 102,552.76
  4. Step 4: Simplify right side
    202,578.04x = 31,141,138,284.72
  5. Step 5: Solve for x
    x = 31,141,138,284.72/202,578.04
  6. Step 6: Final answer
    x = 153,724.16

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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.