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Finding the Fourth Proportional to 304,162.77, 419,747.35 and 168,205.87

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Solution

The fourth proportional to 304,162.77, 419,747.35 and 168,205.87 is: 232,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,162.77 : 419,747.35 = 168,205.87 : x
  2. Step 2: Convert to fraction form
    304,162.77/419,747.35 = 168,205.87/x
  3. Step 3: Cross multiply
    304,162.77x = 419,747.35 × 168,205.87
  4. Step 4: Simplify right side
    304,162.77x = 70,603,966,088.21
  5. Step 5: Solve for x
    x = 70,603,966,088.21/304,162.77
  6. Step 6: Final answer
    x = 232,125.60

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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.