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Finding the Fourth Proportional to 304,124.94, 419,674.37 and 168,148.22

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Solution

The fourth proportional to 304,124.94, 419,674.37 and 168,148.22 is: 232,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,124.94 : 419,674.37 = 168,148.22 : x
  2. Step 2: Convert to fraction form
    304,124.94/419,674.37 = 168,148.22/x
  3. Step 3: Cross multiply
    304,124.94x = 419,674.37 × 168,148.22
  4. Step 4: Simplify right side
    304,124.94x = 70,567,495,356.01
  5. Step 5: Solve for x
    x = 70,567,495,356.01/304,124.94
  6. Step 6: Final answer
    x = 232,034.56

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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.