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Finding the Fourth Proportional to 224,187, 309,384.54 and 123,591.48

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Solution

The fourth proportional to 224,187, 309,384.54 and 123,591.48 is: 170,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,187 : 309,384.54 = 123,591.48 : x
  2. Step 2: Convert to fraction form
    224,187/309,384.54 = 123,591.48/x
  3. Step 3: Cross multiply
    224,187x = 309,384.54 × 123,591.48
  4. Step 4: Simplify right side
    224,187x = 38,237,293,187.72
  5. Step 5: Solve for x
    x = 38,237,293,187.72/224,187
  6. Step 6: Final answer
    x = 170,559.81

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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.