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Finding the Fourth Proportional to 304,455.70, 456,633.94 and 102,141.34

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Solution

The fourth proportional to 304,455.70, 456,633.94 and 102,141.34 is: 153,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,455.70 : 456,633.94 = 102,141.34 : x
  2. Step 2: Convert to fraction form
    304,455.70/456,633.94 = 102,141.34/x
  3. Step 3: Cross multiply
    304,455.70x = 456,633.94 × 102,141.34
  4. Step 4: Simplify right side
    304,455.70x = 46,641,202,521.08
  5. Step 5: Solve for x
    x = 46,641,202,521.08/304,455.70
  6. Step 6: Final answer
    x = 153,195.37

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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.