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Finding the Fourth Proportional to 224,439.84, 309,726.81 and 123,837.84

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Solution

The fourth proportional to 224,439.84, 309,726.81 and 123,837.84 is: 170,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,439.84 : 309,726.81 = 123,837.84 : x
  2. Step 2: Convert to fraction form
    224,439.84/309,726.81 = 123,837.84/x
  3. Step 3: Cross multiply
    224,439.84x = 309,726.81 × 123,837.84
  4. Step 4: Simplify right side
    224,439.84x = 38,355,899,140.49
  5. Step 5: Solve for x
    x = 38,355,899,140.49/224,439.84
  6. Step 6: Final answer
    x = 170,896.13

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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.