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Finding the Fourth Proportional to 202,657.92, 304,006.32 and 52,900.80

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Solution

The fourth proportional to 202,657.92, 304,006.32 and 52,900.80 is: 79,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,657.92 : 304,006.32 = 52,900.80 : x
  2. Step 2: Convert to fraction form
    202,657.92/304,006.32 = 52,900.80/x
  3. Step 3: Cross multiply
    202,657.92x = 304,006.32 × 52,900.80
  4. Step 4: Simplify right side
    202,657.92x = 16,082,177,533.06
  5. Step 5: Solve for x
    x = 16,082,177,533.06/202,657.92
  6. Step 6: Final answer
    x = 79,356.27

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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.