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Finding the Fourth Proportional to 282,143.77, 423,171.91 and 82,410.52

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Solution

The fourth proportional to 282,143.77, 423,171.91 and 82,410.52 is: 123,603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,143.77 : 423,171.91 = 82,410.52 : x
  2. Step 2: Convert to fraction form
    282,143.77/423,171.91 = 82,410.52/x
  3. Step 3: Cross multiply
    282,143.77x = 423,171.91 × 82,410.52
  4. Step 4: Simplify right side
    282,143.77x = 34,873,817,152.49
  5. Step 5: Solve for x
    x = 34,873,817,152.49/282,143.77
  6. Step 6: Final answer
    x = 123,603.00

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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.