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Finding the Fourth Proportional to 224,059.36, 309,187.92 and 123,457.36

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Solution

The fourth proportional to 224,059.36, 309,187.92 and 123,457.36 is: 170,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,059.36 : 309,187.92 = 123,457.36 : x
  2. Step 2: Convert to fraction form
    224,059.36/309,187.92 = 123,457.36/x
  3. Step 3: Cross multiply
    224,059.36x = 309,187.92 × 123,457.36
  4. Step 4: Simplify right side
    224,059.36x = 38,171,524,347.09
  5. Step 5: Solve for x
    x = 38,171,524,347.09/224,059.36
  6. Step 6: Final answer
    x = 170,363.44

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1.5x scale

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.