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Finding the Fourth Proportional to 304,148.53, 419,688.33 and 168,164.11

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Solution

The fourth proportional to 304,148.53, 419,688.33 and 168,164.11 is: 232,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,148.53 : 419,688.33 = 168,164.11 : x
  2. Step 2: Convert to fraction form
    304,148.53/419,688.33 = 168,164.11/x
  3. Step 3: Cross multiply
    304,148.53x = 419,688.33 × 168,164.11
  4. Step 4: Simplify right side
    304,148.53x = 70,576,514,491.84
  5. Step 5: Solve for x
    x = 70,576,514,491.84/304,148.53
  6. Step 6: Final answer
    x = 232,046.21

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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.