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Finding the Fourth Proportional to 282,196.73, 423,359.73 and 122,299.52

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Solution

The fourth proportional to 282,196.73, 423,359.73 and 122,299.52 is: 183,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,196.73 : 423,359.73 = 122,299.52 : x
  2. Step 2: Convert to fraction form
    282,196.73/423,359.73 = 122,299.52/x
  3. Step 3: Cross multiply
    282,196.73x = 423,359.73 × 122,299.52
  4. Step 4: Simplify right side
    282,196.73x = 51,776,689,649.53
  5. Step 5: Solve for x
    x = 51,776,689,649.53/282,196.73
  6. Step 6: Final answer
    x = 183,477.29

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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.