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Finding the Fourth Proportional to 224,362.02, 309,614.64 and 123,760.02

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Solution

The fourth proportional to 224,362.02, 309,614.64 and 123,760.02 is: 170,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,362.02 : 309,614.64 = 123,760.02 : x
  2. Step 2: Convert to fraction form
    224,362.02/309,614.64 = 123,760.02/x
  3. Step 3: Cross multiply
    224,362.02x = 309,614.64 × 123,760.02
  4. Step 4: Simplify right side
    224,362.02x = 38,317,914,038.69
  5. Step 5: Solve for x
    x = 38,317,914,038.69/224,362.02
  6. Step 6: Final answer
    x = 170,786.10

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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.