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Finding the Fourth Proportional to 304,143.10, 419,713.09 and 168,174.06

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Solution

The fourth proportional to 304,143.10, 419,713.09 and 168,174.06 is: 232,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,143.10 : 419,713.09 = 168,174.06 : x
  2. Step 2: Convert to fraction form
    304,143.10/419,713.09 = 168,174.06/x
  3. Step 3: Cross multiply
    304,143.10x = 419,713.09 × 168,174.06
  4. Step 4: Simplify right side
    304,143.10x = 70,584,852,386.09
  5. Step 5: Solve for x
    x = 70,584,852,386.09/304,143.10
  6. Step 6: Final answer
    x = 232,077.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.