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Finding the Fourth Proportional to 304,151.10, 419,720.19 and 168,180.52

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Solution

The fourth proportional to 304,151.10, 419,720.19 and 168,180.52 is: 232,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,151.10 : 419,720.19 = 168,180.52 : x
  2. Step 2: Convert to fraction form
    304,151.10/419,720.19 = 168,180.52/x
  3. Step 3: Cross multiply
    304,151.10x = 419,720.19 × 168,180.52
  4. Step 4: Simplify right side
    304,151.10x = 70,588,759,808.70
  5. Step 5: Solve for x
    x = 70,588,759,808.70/304,151.10
  6. Step 6: Final answer
    x = 232,084.51

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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.