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Finding the Fourth Proportional to 304,102.33, 456,105.60 and 101,696.87

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Solution

The fourth proportional to 304,102.33, 456,105.60 and 101,696.87 is: 152,529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,102.33 : 456,105.60 = 101,696.87 : x
  2. Step 2: Convert to fraction form
    304,102.33/456,105.60 = 101,696.87/x
  3. Step 3: Cross multiply
    304,102.33x = 456,105.60 × 101,696.87
  4. Step 4: Simplify right side
    304,102.33x = 46,384,511,909.47
  5. Step 5: Solve for x
    x = 46,384,511,909.47/304,102.33
  6. Step 6: Final answer
    x = 152,529.29

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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.