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Finding the Fourth Proportional to 202,807.20, 303,915 and 114,085.56

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Solution

The fourth proportional to 202,807.20, 303,915 and 114,085.56 is: 170,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,807.20 : 303,915 = 114,085.56 : x
  2. Step 2: Convert to fraction form
    202,807.20/303,915 = 114,085.56/x
  3. Step 3: Cross multiply
    202,807.20x = 303,915 × 114,085.56
  4. Step 4: Simplify right side
    202,807.20x = 34,672,312,967.40
  5. Step 5: Solve for x
    x = 34,672,312,967.40/202,807.20
  6. Step 6: Final answer
    x = 170,961.94

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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.