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Finding the Fourth Proportional to 282,892.80, 423,712.26 and 164,269.92

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Solution

The fourth proportional to 282,892.80, 423,712.26 and 164,269.92 is: 246,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,892.80 : 423,712.26 = 164,269.92 : x
  2. Step 2: Convert to fraction form
    282,892.80/423,712.26 = 164,269.92/x
  3. Step 3: Cross multiply
    282,892.80x = 423,712.26 × 164,269.92
  4. Step 4: Simplify right side
    282,892.80x = 69,603,179,053.22
  5. Step 5: Solve for x
    x = 69,603,179,053.22/282,892.80
  6. Step 6: Final answer
    x = 246,040.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.