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Finding the Fourth Proportional to 202,028, 303,043.52 and 89,678.02

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Solution

The fourth proportional to 202,028, 303,043.52 and 89,678.02 is: 134,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,028 : 303,043.52 = 89,678.02 : x
  2. Step 2: Convert to fraction form
    202,028/303,043.52 = 89,678.02/x
  3. Step 3: Cross multiply
    202,028x = 303,043.52 × 89,678.02
  4. Step 4: Simplify right side
    202,028x = 27,176,342,847.43
  5. Step 5: Solve for x
    x = 27,176,342,847.43/202,028
  6. Step 6: Final answer
    x = 134,517.70

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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.