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Finding the Fourth Proportional to 304,117.48, 419,665.08 and 168,143.50

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Solution

The fourth proportional to 304,117.48, 419,665.08 and 168,143.50 is: 232,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,117.48 : 419,665.08 = 168,143.50 : x
  2. Step 2: Convert to fraction form
    304,117.48/419,665.08 = 168,143.50/x
  3. Step 3: Cross multiply
    304,117.48x = 419,665.08 × 168,143.50
  4. Step 4: Simplify right side
    304,117.48x = 70,563,955,378.98
  5. Step 5: Solve for x
    x = 70,563,955,378.98/304,117.48
  6. Step 6: Final answer
    x = 232,028.61

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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.