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Finding the Fourth Proportional to 304,098.95, 419,639.60 and 168,124.97

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Solution

The fourth proportional to 304,098.95, 419,639.60 and 168,124.97 is: 232,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,098.95 : 419,639.60 = 168,124.97 : x
  2. Step 2: Convert to fraction form
    304,098.95/419,639.60 = 168,124.97/x
  3. Step 3: Cross multiply
    304,098.95x = 419,639.60 × 168,124.97
  4. Step 4: Simplify right side
    304,098.95x = 70,551,894,320.19
  5. Step 5: Solve for x
    x = 70,551,894,320.19/304,098.95
  6. Step 6: Final answer
    x = 232,003.08

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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.